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Finding the Fourth Proportional to 1,331.98, 1,997.28 and 407.32

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Solution

The fourth proportional to 1,331.98, 1,997.28 and 407.32 is: 610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.98 : 1,997.28 = 407.32 : x
  2. Step 2: Convert to fraction form
    1,331.98/1,997.28 = 407.32/x
  3. Step 3: Cross multiply
    1,331.98x = 1,997.28 × 407.32
  4. Step 4: Simplify right side
    1,331.98x = 813,532.09
  5. Step 5: Solve for x
    x = 813,532.09/1,331.98
  6. Step 6: Final answer
    x = 610.77

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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.