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Finding the Fourth Proportional to 757.08, 1,044.45 and 477.14

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Solution

The fourth proportional to 757.08, 1,044.45 and 477.14 is: 658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.08 : 1,044.45 = 477.14 : x
  2. Step 2: Convert to fraction form
    757.08/1,044.45 = 477.14/x
  3. Step 3: Cross multiply
    757.08x = 1,044.45 × 477.14
  4. Step 4: Simplify right side
    757.08x = 498,343.65
  5. Step 5: Solve for x
    x = 498,343.65/757.08
  6. Step 6: Final answer
    x = 658.24

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.