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Finding the Fourth Proportional to 871.83, 1,304.98 and 627.62

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Solution

The fourth proportional to 871.83, 1,304.98 and 627.62 is: 939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.83 : 1,304.98 = 627.62 : x
  2. Step 2: Convert to fraction form
    871.83/1,304.98 = 627.62/x
  3. Step 3: Cross multiply
    871.83x = 1,304.98 × 627.62
  4. Step 4: Simplify right side
    871.83x = 819,023.45
  5. Step 5: Solve for x
    x = 819,023.45/871.83
  6. Step 6: Final answer
    x = 939.43

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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.