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Finding the Fourth Proportional to 852.94, 1,279.32 and 267.92

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Solution

The fourth proportional to 852.94, 1,279.32 and 267.92 is: 401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.94 : 1,279.32 = 267.92 : x
  2. Step 2: Convert to fraction form
    852.94/1,279.32 = 267.92/x
  3. Step 3: Cross multiply
    852.94x = 1,279.32 × 267.92
  4. Step 4: Simplify right side
    852.94x = 342,755.41
  5. Step 5: Solve for x
    x = 342,755.41/852.94
  6. Step 6: Final answer
    x = 401.85

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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.