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Finding the Fourth Proportional to 1,331.72, 1,997.56 and 407.27

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Solution

The fourth proportional to 1,331.72, 1,997.56 and 407.27 is: 610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.72 : 1,997.56 = 407.27 : x
  2. Step 2: Convert to fraction form
    1,331.72/1,997.56 = 407.27/x
  3. Step 3: Cross multiply
    1,331.72x = 1,997.56 × 407.27
  4. Step 4: Simplify right side
    1,331.72x = 813,544.27
  5. Step 5: Solve for x
    x = 813,544.27/1,331.72
  6. Step 6: Final answer
    x = 610.90

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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.