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Finding the Fourth Proportional to 742.87, 1,114.35 and 249.25

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Solution

The fourth proportional to 742.87, 1,114.35 and 249.25 is: 373.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.87 : 1,114.35 = 249.25 : x
  2. Step 2: Convert to fraction form
    742.87/1,114.35 = 249.25/x
  3. Step 3: Cross multiply
    742.87x = 1,114.35 × 249.25
  4. Step 4: Simplify right side
    742.87x = 277,751.74
  5. Step 5: Solve for x
    x = 277,751.74/742.87
  6. Step 6: Final answer
    x = 373.89

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.