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Finding the Fourth Proportional to 732.96, 1,101.42 and 686.25

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Solution

The fourth proportional to 732.96, 1,101.42 and 686.25 is: 1,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.96 : 1,101.42 = 686.25 : x
  2. Step 2: Convert to fraction form
    732.96/1,101.42 = 686.25/x
  3. Step 3: Cross multiply
    732.96x = 1,101.42 × 686.25
  4. Step 4: Simplify right side
    732.96x = 755,849.48
  5. Step 5: Solve for x
    x = 755,849.48/732.96
  6. Step 6: Final answer
    x = 1,031.23

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