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Finding the Fourth Proportional to 997.66, 1,373.43 and 868.06

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Solution

The fourth proportional to 997.66, 1,373.43 and 868.06 is: 1,195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.66 : 1,373.43 = 868.06 : x
  2. Step 2: Convert to fraction form
    997.66/1,373.43 = 868.06/x
  3. Step 3: Cross multiply
    997.66x = 1,373.43 × 868.06
  4. Step 4: Simplify right side
    997.66x = 1,192,219.65
  5. Step 5: Solve for x
    x = 1,192,219.65/997.66
  6. Step 6: Final answer
    x = 1,195.02

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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.