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Finding the Fourth Proportional to 732.53, 1,099.29 and 527.27

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Solution

The fourth proportional to 732.53, 1,099.29 and 527.27 is: 791.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.53 : 1,099.29 = 527.27 : x
  2. Step 2: Convert to fraction form
    732.53/1,099.29 = 527.27/x
  3. Step 3: Cross multiply
    732.53x = 1,099.29 × 527.27
  4. Step 4: Simplify right side
    732.53x = 579,617.14
  5. Step 5: Solve for x
    x = 579,617.14/732.53
  6. Step 6: Final answer
    x = 791.26

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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.