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Finding the Fourth Proportional to 773.94, 1,067.34 and 493.71

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Solution

The fourth proportional to 773.94, 1,067.34 and 493.71 is: 680.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.94 : 1,067.34 = 493.71 : x
  2. Step 2: Convert to fraction form
    773.94/1,067.34 = 493.71/x
  3. Step 3: Cross multiply
    773.94x = 1,067.34 × 493.71
  4. Step 4: Simplify right side
    773.94x = 526,956.43
  5. Step 5: Solve for x
    x = 526,956.43/773.94
  6. Step 6: Final answer
    x = 680.88

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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.