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Finding the Fourth Proportional to 882.56, 1,324.16 and 540.80

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Solution

The fourth proportional to 882.56, 1,324.16 and 540.80 is: 811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.56 : 1,324.16 = 540.80 : x
  2. Step 2: Convert to fraction form
    882.56/1,324.16 = 540.80/x
  3. Step 3: Cross multiply
    882.56x = 1,324.16 × 540.80
  4. Step 4: Simplify right side
    882.56x = 716,105.73
  5. Step 5: Solve for x
    x = 716,105.73/882.56
  6. Step 6: Final answer
    x = 811.40

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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.