Its no coincidence, and these are not prophecies. Why this combination? Read on.
We humans are fairly good at fooling ourselves. In this case there are several things which help us convince ourselves that there is some connection when there is none to be found.
One element has to do with what is sometimes called the shooter fallacy. It has to do with fitting the details after the event has already occurred. (The shooter fallacy - painting the target after you shot.)
Another has to do with confirmation bias. This has to do with us tending to remember events which fit our worldview and forget others. This allows us to remember one hit from a 'prophet' while ignoring several misses. (Note that the hit may not be that good, due to the shooter fallacy.)
How does these work together. Lets play a little game. Imagine that I am now entering into a trance, and telling you that I see a vision:
Does this mean anything? Of course not, as I just invented it.
However, we can wait a couple of years. Then, of say, there is some kind of conflagration in the middle east, then naturally I meant that the new ruler is related to the new Israeli government, and fire has to do with war, while the old city is Jerusalem. If there is a big fire in Rome, (or any other historical city) again we are fine. If nothing happens, well you wont remember this, wont you?
This is the mechanism which help such nonsense to propagate itself. So, unless such prophecies are specific so that we know what they say in advance, and we can follow several and find how many come true, they are useless. The only thing keeping these with us is our need to feel safe, and in control, in a chaotic world. It past time we mature and leave this nonsense behind.
One final point. Nick, are you sure you want to start a similar thread each weak? I am very lazy and the though of composing such a long response every week makes me