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Finding the Fourth Proportional to 1,331.26, 1,996.05 and 966.35

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Solution

The fourth proportional to 1,331.26, 1,996.05 and 966.35 is: 1,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.26 : 1,996.05 = 966.35 : x
  2. Step 2: Convert to fraction form
    1,331.26/1,996.05 = 966.35/x
  3. Step 3: Cross multiply
    1,331.26x = 1,996.05 × 966.35
  4. Step 4: Simplify right side
    1,331.26x = 1,928,882.92
  5. Step 5: Solve for x
    x = 1,928,882.92/1,331.26
  6. Step 6: Final answer
    x = 1,448.92

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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.