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Finding the Fourth Proportional to 778.97, 1,168.67 and 648.27

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Solution

The fourth proportional to 778.97, 1,168.67 and 648.27 is: 972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.97 : 1,168.67 = 648.27 : x
  2. Step 2: Convert to fraction form
    778.97/1,168.67 = 648.27/x
  3. Step 3: Cross multiply
    778.97x = 1,168.67 × 648.27
  4. Step 4: Simplify right side
    778.97x = 757,613.70
  5. Step 5: Solve for x
    x = 757,613.70/778.97
  6. Step 6: Final answer
    x = 972.58

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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.