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Finding the Fourth Proportional to 773.12, 1,067.04 and 462.80

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Solution

The fourth proportional to 773.12, 1,067.04 and 462.80 is: 638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.12 : 1,067.04 = 462.80 : x
  2. Step 2: Convert to fraction form
    773.12/1,067.04 = 462.80/x
  3. Step 3: Cross multiply
    773.12x = 1,067.04 × 462.80
  4. Step 4: Simplify right side
    773.12x = 493,826.11
  5. Step 5: Solve for x
    x = 493,826.11/773.12
  6. Step 6: Final answer
    x = 638.74

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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.