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Finding the Fourth Proportional to 778.70, 1,166.52 and 517.92

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Solution

The fourth proportional to 778.70, 1,166.52 and 517.92 is: 775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.70 : 1,166.52 = 517.92 : x
  2. Step 2: Convert to fraction form
    778.70/1,166.52 = 517.92/x
  3. Step 3: Cross multiply
    778.70x = 1,166.52 × 517.92
  4. Step 4: Simplify right side
    778.70x = 604,164.04
  5. Step 5: Solve for x
    x = 604,164.04/778.70
  6. Step 6: Final answer
    x = 775.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.