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Finding the Fourth Proportional to 1,331.32, 1,996.36 and 406.72

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Solution

The fourth proportional to 1,331.32, 1,996.36 and 406.72 is: 609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.32 : 1,996.36 = 406.72 : x
  2. Step 2: Convert to fraction form
    1,331.32/1,996.36 = 406.72/x
  3. Step 3: Cross multiply
    1,331.32x = 1,996.36 × 406.72
  4. Step 4: Simplify right side
    1,331.32x = 811,959.54
  5. Step 5: Solve for x
    x = 811,959.54/1,331.32
  6. Step 6: Final answer
    x = 609.89

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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.