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Finding the Fourth Proportional to 773.92, 1,161.29 and 422.78

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Solution

The fourth proportional to 773.92, 1,161.29 and 422.78 is: 634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.92 : 1,161.29 = 422.78 : x
  2. Step 2: Convert to fraction form
    773.92/1,161.29 = 422.78/x
  3. Step 3: Cross multiply
    773.92x = 1,161.29 × 422.78
  4. Step 4: Simplify right side
    773.92x = 490,962.27
  5. Step 5: Solve for x
    x = 490,962.27/773.92
  6. Step 6: Final answer
    x = 634.39

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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.