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Finding the Fourth Proportional to 854.28, 1,279.80 and 442.92

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Solution

The fourth proportional to 854.28, 1,279.80 and 442.92 is: 663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.28 : 1,279.80 = 442.92 : x
  2. Step 2: Convert to fraction form
    854.28/1,279.80 = 442.92/x
  3. Step 3: Cross multiply
    854.28x = 1,279.80 × 442.92
  4. Step 4: Simplify right side
    854.28x = 566,849.02
  5. Step 5: Solve for x
    x = 566,849.02/854.28
  6. Step 6: Final answer
    x = 663.54

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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.