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Finding the Fourth Proportional to 997.41, 1,371.84 and 800.49

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Solution

The fourth proportional to 997.41, 1,371.84 and 800.49 is: 1,101.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.41 : 1,371.84 = 800.49 : x
  2. Step 2: Convert to fraction form
    997.41/1,371.84 = 800.49/x
  3. Step 3: Cross multiply
    997.41x = 1,371.84 × 800.49
  4. Step 4: Simplify right side
    997.41x = 1,098,144.20
  5. Step 5: Solve for x
    x = 1,098,144.20/997.41
  6. Step 6: Final answer
    x = 1,101.00

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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.