
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
Given the parabola $C$: $y^{2}=4x$ with focus $F$, a line $l$ passing through $F$ intersects $C$ at points $A$ and $B$. Let $M$ be the midpoint of segment $AB$, and $O$ be the origin. The extensions of $AO$ and $BO$ intersect the line $x=-4$ at points $P$ and $Q$ respectively.  
(Ⅰ) Find the equation of the trajectory of the moving point $M$;  
(Ⅱ) Connect $OM$, and find the ratio of the areas of $\triangle OPQ$ and $\triangle BOM$.

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