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Finding the Fourth Proportional to 729.44, 1,094.16 and 267.06

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Solution

The fourth proportional to 729.44, 1,094.16 and 267.06 is: 400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.44 : 1,094.16 = 267.06 : x
  2. Step 2: Convert to fraction form
    729.44/1,094.16 = 267.06/x
  3. Step 3: Cross multiply
    729.44x = 1,094.16 × 267.06
  4. Step 4: Simplify right side
    729.44x = 292,206.37
  5. Step 5: Solve for x
    x = 292,206.37/729.44
  6. Step 6: Final answer
    x = 400.59

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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.