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Finding the Fourth Proportional to 1,331.34, 1,997.42 and 465.66

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Solution

The fourth proportional to 1,331.34, 1,997.42 and 465.66 is: 698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.34 : 1,997.42 = 465.66 : x
  2. Step 2: Convert to fraction form
    1,331.34/1,997.42 = 465.66/x
  3. Step 3: Cross multiply
    1,331.34x = 1,997.42 × 465.66
  4. Step 4: Simplify right side
    1,331.34x = 930,116.27
  5. Step 5: Solve for x
    x = 930,116.27/1,331.34
  6. Step 6: Final answer
    x = 698.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.