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Finding the Fourth Proportional to 732.16, 1,010.10 and 545.32

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Solution

The fourth proportional to 732.16, 1,010.10 and 545.32 is: 752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.16 : 1,010.10 = 545.32 : x
  2. Step 2: Convert to fraction form
    732.16/1,010.10 = 545.32/x
  3. Step 3: Cross multiply
    732.16x = 1,010.10 × 545.32
  4. Step 4: Simplify right side
    732.16x = 550,827.73
  5. Step 5: Solve for x
    x = 550,827.73/732.16
  6. Step 6: Final answer
    x = 752.33

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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.