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Finding the Fourth Proportional to 747.48, 1,031.57 and 498.64

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Solution

The fourth proportional to 747.48, 1,031.57 and 498.64 is: 688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.48 : 1,031.57 = 498.64 : x
  2. Step 2: Convert to fraction form
    747.48/1,031.57 = 498.64/x
  3. Step 3: Cross multiply
    747.48x = 1,031.57 × 498.64
  4. Step 4: Simplify right side
    747.48x = 514,380.80
  5. Step 5: Solve for x
    x = 514,380.80/747.48
  6. Step 6: Final answer
    x = 688.15

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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.