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Finding the Fourth Proportional to 747.42, 1,031.25 and 498.57

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Solution

The fourth proportional to 747.42, 1,031.25 and 498.57 is: 687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.42 : 1,031.25 = 498.57 : x
  2. Step 2: Convert to fraction form
    747.42/1,031.25 = 498.57/x
  3. Step 3: Cross multiply
    747.42x = 1,031.25 × 498.57
  4. Step 4: Simplify right side
    747.42x = 514,147.82
  5. Step 5: Solve for x
    x = 514,147.82/747.42
  6. Step 6: Final answer
    x = 687.90

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