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Finding the Fourth Proportional to 871.83, 1,305.38 and 638.96

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Solution

The fourth proportional to 871.83, 1,305.38 and 638.96 is: 956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.83 : 1,305.38 = 638.96 : x
  2. Step 2: Convert to fraction form
    871.83/1,305.38 = 638.96/x
  3. Step 3: Cross multiply
    871.83x = 1,305.38 × 638.96
  4. Step 4: Simplify right side
    871.83x = 834,080.68
  5. Step 5: Solve for x
    x = 834,080.68/871.83
  6. Step 6: Final answer
    x = 956.70

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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.