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Finding the Fourth Proportional to 981.64, 1,470.99 and 871.61

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Solution

The fourth proportional to 981.64, 1,470.99 and 871.61 is: 1,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.64 : 1,470.99 = 871.61 : x
  2. Step 2: Convert to fraction form
    981.64/1,470.99 = 871.61/x
  3. Step 3: Cross multiply
    981.64x = 1,470.99 × 871.61
  4. Step 4: Simplify right side
    981.64x = 1,282,126.43
  5. Step 5: Solve for x
    x = 1,282,126.43/981.64
  6. Step 6: Final answer
    x = 1,306.10

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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.