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Finding the Fourth Proportional to 882.12, 1,324.60 and 517.20

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Solution

The fourth proportional to 882.12, 1,324.60 and 517.20 is: 776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.12 : 1,324.60 = 517.20 : x
  2. Step 2: Convert to fraction form
    882.12/1,324.60 = 517.20/x
  3. Step 3: Cross multiply
    882.12x = 1,324.60 × 517.20
  4. Step 4: Simplify right side
    882.12x = 685,083.12
  5. Step 5: Solve for x
    x = 685,083.12/882.12
  6. Step 6: Final answer
    x = 776.63

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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.