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Finding the Fourth Proportional to 729.32, 1,094.07 and 267.08

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Solution

The fourth proportional to 729.32, 1,094.07 and 267.08 is: 400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.32 : 1,094.07 = 267.08 : x
  2. Step 2: Convert to fraction form
    729.32/1,094.07 = 267.08/x
  3. Step 3: Cross multiply
    729.32x = 1,094.07 × 267.08
  4. Step 4: Simplify right side
    729.32x = 292,204.22
  5. Step 5: Solve for x
    x = 292,204.22/729.32
  6. Step 6: Final answer
    x = 400.65

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Why These Related Problems?

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