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Finding the Fourth Proportional to 997.76, 1,375.14 and 883.19

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Solution

The fourth proportional to 997.76, 1,375.14 and 883.19 is: 1,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.76 : 1,375.14 = 883.19 : x
  2. Step 2: Convert to fraction form
    997.76/1,375.14 = 883.19/x
  3. Step 3: Cross multiply
    997.76x = 1,375.14 × 883.19
  4. Step 4: Simplify right side
    997.76x = 1,214,513.33
  5. Step 5: Solve for x
    x = 1,214,513.33/997.76
  6. Step 6: Final answer
    x = 1,217.24

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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.