Should I ask him out or should I wait for his move?

Hi, I've been chatting with one of my classmates for a month because we have online lessons and we've never met in person. I have crush on him and I think he is interested, because we chat everyday about anything. We live in different cities. I would like to meet him and see what he's like in real life, but I am not sure if I should make this step first. What do you think about girl asking the boy on a date first? Is it inappropriate?
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