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Finding the Fourth Proportional to 773.97, 1,067.94 and 493.71

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Solution

The fourth proportional to 773.97, 1,067.94 and 493.71 is: 681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.97 : 1,067.94 = 493.71 : x
  2. Step 2: Convert to fraction form
    773.97/1,067.94 = 493.71/x
  3. Step 3: Cross multiply
    773.97x = 1,067.94 × 493.71
  4. Step 4: Simplify right side
    773.97x = 527,252.66
  5. Step 5: Solve for x
    x = 527,252.66/773.97
  6. Step 6: Final answer
    x = 681.23

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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.