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Finding the Fourth Proportional to 732.76, 1,099.17 and 408.16

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Solution

The fourth proportional to 732.76, 1,099.17 and 408.16 is: 612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.76 : 1,099.17 = 408.16 : x
  2. Step 2: Convert to fraction form
    732.76/1,099.17 = 408.16/x
  3. Step 3: Cross multiply
    732.76x = 1,099.17 × 408.16
  4. Step 4: Simplify right side
    732.76x = 448,637.23
  5. Step 5: Solve for x
    x = 448,637.23/732.76
  6. Step 6: Final answer
    x = 612.26

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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.