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Finding the Fourth Proportional to 731.13, 1,100.96 and 527.11

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Solution

The fourth proportional to 731.13, 1,100.96 and 527.11 is: 793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.13 : 1,100.96 = 527.11 : x
  2. Step 2: Convert to fraction form
    731.13/1,100.96 = 527.11/x
  3. Step 3: Cross multiply
    731.13x = 1,100.96 × 527.11
  4. Step 4: Simplify right side
    731.13x = 580,323.61
  5. Step 5: Solve for x
    x = 580,323.61/731.13
  6. Step 6: Final answer
    x = 793.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.