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Finding the Fourth Proportional to 781.92, 1,177.19 and 713.88

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Solution

The fourth proportional to 781.92, 1,177.19 and 713.88 is: 1,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.92 : 1,177.19 = 713.88 : x
  2. Step 2: Convert to fraction form
    781.92/1,177.19 = 713.88/x
  3. Step 3: Cross multiply
    781.92x = 1,177.19 × 713.88
  4. Step 4: Simplify right side
    781.92x = 840,372.40
  5. Step 5: Solve for x
    x = 840,372.40/781.92
  6. Step 6: Final answer
    x = 1,074.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.