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Finding the Fourth Proportional to 868.89, 1,304.07 and 814.16

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Solution

The fourth proportional to 868.89, 1,304.07 and 814.16 is: 1,221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.89 : 1,304.07 = 814.16 : x
  2. Step 2: Convert to fraction form
    868.89/1,304.07 = 814.16/x
  3. Step 3: Cross multiply
    868.89x = 1,304.07 × 814.16
  4. Step 4: Simplify right side
    868.89x = 1,061,711.04
  5. Step 5: Solve for x
    x = 1,061,711.04/868.89
  6. Step 6: Final answer
    x = 1,221.92

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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.