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Finding the Fourth Proportional to 781.65, 1,170.18 and 506.97

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Solution

The fourth proportional to 781.65, 1,170.18 and 506.97 is: 758.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.65 : 1,170.18 = 506.97 : x
  2. Step 2: Convert to fraction form
    781.65/1,170.18 = 506.97/x
  3. Step 3: Cross multiply
    781.65x = 1,170.18 × 506.97
  4. Step 4: Simplify right side
    781.65x = 593,246.15
  5. Step 5: Solve for x
    x = 593,246.15/781.65
  6. Step 6: Final answer
    x = 758.97

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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.