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Finding the Fourth Proportional to 732.60, 1,010.16 and 545.49

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Solution

The fourth proportional to 732.60, 1,010.16 and 545.49 is: 752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.60 : 1,010.16 = 545.49 : x
  2. Step 2: Convert to fraction form
    732.60/1,010.16 = 545.49/x
  3. Step 3: Cross multiply
    732.60x = 1,010.16 × 545.49
  4. Step 4: Simplify right side
    732.60x = 551,032.18
  5. Step 5: Solve for x
    x = 551,032.18/732.60
  6. Step 6: Final answer
    x = 752.16

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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.