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Finding the Fourth Proportional to 778.97, 1,162.76 and 686.71

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Solution

The fourth proportional to 778.97, 1,162.76 and 686.71 is: 1,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.97 : 1,162.76 = 686.71 : x
  2. Step 2: Convert to fraction form
    778.97/1,162.76 = 686.71/x
  3. Step 3: Cross multiply
    778.97x = 1,162.76 × 686.71
  4. Step 4: Simplify right side
    778.97x = 798,475.15
  5. Step 5: Solve for x
    x = 798,475.15/778.97
  6. Step 6: Final answer
    x = 1,025.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.