They're also similar to some other arbitrary number, like 1.6 or 1.7 or 1.5 or anywhere in between. I've got an idea, let's add to the mysticism and the idea that we're all united by some common number and use pi/2 instead! Wouldn't that just blow your mind?!
When you divide the circumference of a circle by its diameter, you get pi. Exactly pi, every time. When you divide some arbitrary measurements of some people's bodies you get something generally close to some number, but nothing exact. I don't see how this is even a debate.