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Finding the Fourth Proportional to 772.92, 1,067.00 and 493.20

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Solution

The fourth proportional to 772.92, 1,067.00 and 493.20 is: 680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.92 : 1,067.00 = 493.20 : x
  2. Step 2: Convert to fraction form
    772.92/1,067.00 = 493.20/x
  3. Step 3: Cross multiply
    772.92x = 1,067.00 × 493.20
  4. Step 4: Simplify right side
    772.92x = 526,241.93
  5. Step 5: Solve for x
    x = 526,241.93/772.92
  6. Step 6: Final answer
    x = 680.85

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