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Finding the Fourth Proportional to 731.09, 1,096.41 and 244.03

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Solution

The fourth proportional to 731.09, 1,096.41 and 244.03 is: 365.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.09 : 1,096.41 = 244.03 : x
  2. Step 2: Convert to fraction form
    731.09/1,096.41 = 244.03/x
  3. Step 3: Cross multiply
    731.09x = 1,096.41 × 244.03
  4. Step 4: Simplify right side
    731.09x = 267,559.22
  5. Step 5: Solve for x
    x = 267,559.22/731.09
  6. Step 6: Final answer
    x = 365.97

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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.