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Finding the Fourth Proportional to 767.22, 1,149.78 and 560.82

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Solution

The fourth proportional to 767.22, 1,149.78 and 560.82 is: 840.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.22 : 1,149.78 = 560.82 : x
  2. Step 2: Convert to fraction form
    767.22/1,149.78 = 560.82/x
  3. Step 3: Cross multiply
    767.22x = 1,149.78 × 560.82
  4. Step 4: Simplify right side
    767.22x = 644,819.62
  5. Step 5: Solve for x
    x = 644,819.62/767.22
  6. Step 6: Final answer
    x = 840.46

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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.