
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
Solve the proportions:

1. 0.75 : $\frac{1}{2}$ = 12 : x
2. $\frac{0.7}{x}$ = $\frac{14}{5}$
3. $\frac{2}{15}$ : $\frac{1}{6}$ = x : $\frac{2}{3}$
4. 4 : 4.5 = $\frac{x}{27}$

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