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Finding the Fourth Proportional to 1,331.74, 1,996.41 and 672.76

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Solution

The fourth proportional to 1,331.74, 1,996.41 and 672.76 is: 1,008.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.74 : 1,996.41 = 672.76 : x
  2. Step 2: Convert to fraction form
    1,331.74/1,996.41 = 672.76/x
  3. Step 3: Cross multiply
    1,331.74x = 1,996.41 × 672.76
  4. Step 4: Simplify right side
    1,331.74x = 1,343,104.79
  5. Step 5: Solve for x
    x = 1,343,104.79/1,331.74
  6. Step 6: Final answer
    x = 1,008.53

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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.