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Finding the Fourth Proportional to 1,553.70, 2,331.21 and 732.18

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Solution

The fourth proportional to 1,553.70, 2,331.21 and 732.18 is: 1,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.70 : 2,331.21 = 732.18 : x
  2. Step 2: Convert to fraction form
    1,553.70/2,331.21 = 732.18/x
  3. Step 3: Cross multiply
    1,553.70x = 2,331.21 × 732.18
  4. Step 4: Simplify right side
    1,553.70x = 1,706,865.34
  5. Step 5: Solve for x
    x = 1,706,865.34/1,553.70
  6. Step 6: Final answer
    x = 1,098.58

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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.