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Finding the Fourth Proportional to 997.91, 1,372.53 and 800.99

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Solution

The fourth proportional to 997.91, 1,372.53 and 800.99 is: 1,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.91 : 1,372.53 = 800.99 : x
  2. Step 2: Convert to fraction form
    997.91/1,372.53 = 800.99/x
  3. Step 3: Cross multiply
    997.91x = 1,372.53 × 800.99
  4. Step 4: Simplify right side
    997.91x = 1,099,382.80
  5. Step 5: Solve for x
    x = 1,099,382.80/997.91
  6. Step 6: Final answer
    x = 1,101.69

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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.