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Finding the Fourth Proportional to 997.43, 1,493.71 and 563.27

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Solution

The fourth proportional to 997.43, 1,493.71 and 563.27 is: 843.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.43 : 1,493.71 = 563.27 : x
  2. Step 2: Convert to fraction form
    997.43/1,493.71 = 563.27/x
  3. Step 3: Cross multiply
    997.43x = 1,493.71 × 563.27
  4. Step 4: Simplify right side
    997.43x = 841,353.15
  5. Step 5: Solve for x
    x = 841,353.15/997.43
  6. Step 6: Final answer
    x = 843.53

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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.