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Finding the Fourth Proportional to 997.97, 1,376.15 and 858.56

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Solution

The fourth proportional to 997.97, 1,376.15 and 858.56 is: 1,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.97 : 1,376.15 = 858.56 : x
  2. Step 2: Convert to fraction form
    997.97/1,376.15 = 858.56/x
  3. Step 3: Cross multiply
    997.97x = 1,376.15 × 858.56
  4. Step 4: Simplify right side
    997.97x = 1,181,496.17
  5. Step 5: Solve for x
    x = 1,181,496.17/997.97
  6. Step 6: Final answer
    x = 1,183.91

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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.