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Finding the Fourth Proportional to 729.44, 1,094.28 and 267.86

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Solution

The fourth proportional to 729.44, 1,094.28 and 267.86 is: 401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.44 : 1,094.28 = 267.86 : x
  2. Step 2: Convert to fraction form
    729.44/1,094.28 = 267.86/x
  3. Step 3: Cross multiply
    729.44x = 1,094.28 × 267.86
  4. Step 4: Simplify right side
    729.44x = 293,115.57
  5. Step 5: Solve for x
    x = 293,115.57/729.44
  6. Step 6: Final answer
    x = 401.84

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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.