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Finding the Fourth Proportional to 883.14, 1,324.14 and 517.74

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Solution

The fourth proportional to 883.14, 1,324.14 and 517.74 is: 776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.14 : 1,324.14 = 517.74 : x
  2. Step 2: Convert to fraction form
    883.14/1,324.14 = 517.74/x
  3. Step 3: Cross multiply
    883.14x = 1,324.14 × 517.74
  4. Step 4: Simplify right side
    883.14x = 685,560.24
  5. Step 5: Solve for x
    x = 685,560.24/883.14
  6. Step 6: Final answer
    x = 776.28

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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.