
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
An isosceles right triangle has legs of length 3 units. A second isosceles right triangle is formed having legs that are $125\%$ of the length of the legs of the first triangle. A third isosceles right triangle is formed having legs that are $125\%$ of the length of the legs of the second triangle. The process is continued until four isosceles right triangles exist. What will be the percent increase in the hypotenuse from the first triangle to the fourth triangle? Express your answer to the nearest tenth.

Present the answer in LaTex format: \boxed{Your answer}
user