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Finding the Fourth Proportional to 871.17, 1,202.13 and 521.97

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Solution

The fourth proportional to 871.17, 1,202.13 and 521.97 is: 720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.17 : 1,202.13 = 521.97 : x
  2. Step 2: Convert to fraction form
    871.17/1,202.13 = 521.97/x
  3. Step 3: Cross multiply
    871.17x = 1,202.13 × 521.97
  4. Step 4: Simplify right side
    871.17x = 627,475.80
  5. Step 5: Solve for x
    x = 627,475.80/871.17
  6. Step 6: Final answer
    x = 720.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.