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Finding the Fourth Proportional to 731.44, 1,097.34 and 407.03

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Solution

The fourth proportional to 731.44, 1,097.34 and 407.03 is: 610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.44 : 1,097.34 = 407.03 : x
  2. Step 2: Convert to fraction form
    731.44/1,097.34 = 407.03/x
  3. Step 3: Cross multiply
    731.44x = 1,097.34 × 407.03
  4. Step 4: Simplify right side
    731.44x = 446,650.30
  5. Step 5: Solve for x
    x = 446,650.30/731.44
  6. Step 6: Final answer
    x = 610.65

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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.