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Finding the Fourth Proportional to 773.92, 1,067.88 and 463.42

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Solution

The fourth proportional to 773.92, 1,067.88 and 463.42 is: 639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.92 : 1,067.88 = 463.42 : x
  2. Step 2: Convert to fraction form
    773.92/1,067.88 = 463.42/x
  3. Step 3: Cross multiply
    773.92x = 1,067.88 × 463.42
  4. Step 4: Simplify right side
    773.92x = 494,876.95
  5. Step 5: Solve for x
    x = 494,876.95/773.92
  6. Step 6: Final answer
    x = 639.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.