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Finding the Fourth Proportional to 1,331.97, 1,996.20 and 591.33

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Solution

The fourth proportional to 1,331.97, 1,996.20 and 591.33 is: 886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.97 : 1,996.20 = 591.33 : x
  2. Step 2: Convert to fraction form
    1,331.97/1,996.20 = 591.33/x
  3. Step 3: Cross multiply
    1,331.97x = 1,996.20 × 591.33
  4. Step 4: Simplify right side
    1,331.97x = 1,180,412.95
  5. Step 5: Solve for x
    x = 1,180,412.95/1,331.97
  6. Step 6: Final answer
    x = 886.22

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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.