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Finding the Fourth Proportional to 871.31, 1,202.44 and 517.42

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Solution

The fourth proportional to 871.31, 1,202.44 and 517.42 is: 714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.31 : 1,202.44 = 517.42 : x
  2. Step 2: Convert to fraction form
    871.31/1,202.44 = 517.42/x
  3. Step 3: Cross multiply
    871.31x = 1,202.44 × 517.42
  4. Step 4: Simplify right side
    871.31x = 622,160.49
  5. Step 5: Solve for x
    x = 622,160.49/871.31
  6. Step 6: Final answer
    x = 714.05

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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.