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Finding the Fourth Proportional to 1,553.27, 2,328.68 and 731.12

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Solution

The fourth proportional to 1,553.27, 2,328.68 and 731.12 is: 1,096.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.27 : 2,328.68 = 731.12 : x
  2. Step 2: Convert to fraction form
    1,553.27/2,328.68 = 731.12/x
  3. Step 3: Cross multiply
    1,553.27x = 2,328.68 × 731.12
  4. Step 4: Simplify right side
    1,553.27x = 1,702,534.71
  5. Step 5: Solve for x
    x = 1,702,534.71/1,553.27
  6. Step 6: Final answer
    x = 1,096.10

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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.