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Finding the Fourth Proportional to 882.20, 1,321.47 and 515.88

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Solution

The fourth proportional to 882.20, 1,321.47 and 515.88 is: 772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.20 : 1,321.47 = 515.88 : x
  2. Step 2: Convert to fraction form
    882.20/1,321.47 = 515.88/x
  3. Step 3: Cross multiply
    882.20x = 1,321.47 × 515.88
  4. Step 4: Simplify right side
    882.20x = 681,719.94
  5. Step 5: Solve for x
    x = 681,719.94/882.20
  6. Step 6: Final answer
    x = 772.75

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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.