Claire drove 204 miles in 4 hours. If she continued at the same rate, how far would she travel in 13 hours?
To find the distance Claire would travel in 13 hours, we can set up a proportion.
Let x be the distance she would travel in 13 hours.
We can set up the following proportion: 204 miles / 4 hours = x miles / 13 hours.
Using cross-multiplication, we get 4x = 13 * 204 miles.
Dividing both sides of the equation by 4, we find x = (13 * 204) / 4.
Evaluating the right side of the equation gives x = 66 * 13 = <<66*13=858>>858 miles.
Therefore, Claire would travel 858 miles in 13 hours. Answer: \boxed{858}.