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Finding the Fourth Proportional to 883.12, 1,217.96 and 834.48

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Solution

The fourth proportional to 883.12, 1,217.96 and 834.48 is: 1,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.12 : 1,217.96 = 834.48 : x
  2. Step 2: Convert to fraction form
    883.12/1,217.96 = 834.48/x
  3. Step 3: Cross multiply
    883.12x = 1,217.96 × 834.48
  4. Step 4: Simplify right side
    883.12x = 1,016,363.26
  5. Step 5: Solve for x
    x = 1,016,363.26/883.12
  6. Step 6: Final answer
    x = 1,150.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.