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Finding the Fourth Proportional to 806.76, 1,207.71 and 517.59

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Solution

The fourth proportional to 806.76, 1,207.71 and 517.59 is: 774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.76 : 1,207.71 = 517.59 : x
  2. Step 2: Convert to fraction form
    806.76/1,207.71 = 517.59/x
  3. Step 3: Cross multiply
    806.76x = 1,207.71 × 517.59
  4. Step 4: Simplify right side
    806.76x = 625,098.62
  5. Step 5: Solve for x
    x = 625,098.62/806.76
  6. Step 6: Final answer
    x = 774.83

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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.