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Finding the Fourth Proportional to 882.22, 1,324.98 and 809.98

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Solution

The fourth proportional to 882.22, 1,324.98 and 809.98 is: 1,216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.22 : 1,324.98 = 809.98 : x
  2. Step 2: Convert to fraction form
    882.22/1,324.98 = 809.98/x
  3. Step 3: Cross multiply
    882.22x = 1,324.98 × 809.98
  4. Step 4: Simplify right side
    882.22x = 1,073,207.30
  5. Step 5: Solve for x
    x = 1,073,207.30/882.22
  6. Step 6: Final answer
    x = 1,216.48

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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.