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Finding the Fourth Proportional to 794.92, 1,192.56 and 267.88

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Solution

The fourth proportional to 794.92, 1,192.56 and 267.88 is: 401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.92 : 1,192.56 = 267.88 : x
  2. Step 2: Convert to fraction form
    794.92/1,192.56 = 267.88/x
  3. Step 3: Cross multiply
    794.92x = 1,192.56 × 267.88
  4. Step 4: Simplify right side
    794.92x = 319,462.97
  5. Step 5: Solve for x
    x = 319,462.97/794.92
  6. Step 6: Final answer
    x = 401.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.