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Finding the Fourth Proportional to 729.36, 1,093.92 and 267.24

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Solution

The fourth proportional to 729.36, 1,093.92 and 267.24 is: 400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.36 : 1,093.92 = 267.24 : x
  2. Step 2: Convert to fraction form
    729.36/1,093.92 = 267.24/x
  3. Step 3: Cross multiply
    729.36x = 1,093.92 × 267.24
  4. Step 4: Simplify right side
    729.36x = 292,339.18
  5. Step 5: Solve for x
    x = 292,339.18/729.36
  6. Step 6: Final answer
    x = 400.82

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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.