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Finding the Fourth Proportional to 882.10, 1,321.02 and 441.97

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Solution

The fourth proportional to 882.10, 1,321.02 and 441.97 is: 661.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.10 : 1,321.02 = 441.97 : x
  2. Step 2: Convert to fraction form
    882.10/1,321.02 = 441.97/x
  3. Step 3: Cross multiply
    882.10x = 1,321.02 × 441.97
  4. Step 4: Simplify right side
    882.10x = 583,847.91
  5. Step 5: Solve for x
    x = 583,847.91/882.10
  6. Step 6: Final answer
    x = 661.88

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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.