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Finding the Fourth Proportional to 997.45, 1,495.54 and 868.66

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Solution

The fourth proportional to 997.45, 1,495.54 and 868.66 is: 1,302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.45 : 1,495.54 = 868.66 : x
  2. Step 2: Convert to fraction form
    997.45/1,495.54 = 868.66/x
  3. Step 3: Cross multiply
    997.45x = 1,495.54 × 868.66
  4. Step 4: Simplify right side
    997.45x = 1,299,115.78
  5. Step 5: Solve for x
    x = 1,299,115.78/997.45
  6. Step 6: Final answer
    x = 1,302.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.