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Finding the Fourth Proportional to 997.12, 1,495.11 and 411.43

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Solution

The fourth proportional to 997.12, 1,495.11 and 411.43 is: 616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.12 : 1,495.11 = 411.43 : x
  2. Step 2: Convert to fraction form
    997.12/1,495.11 = 411.43/x
  3. Step 3: Cross multiply
    997.12x = 1,495.11 × 411.43
  4. Step 4: Simplify right side
    997.12x = 615,133.11
  5. Step 5: Solve for x
    x = 615,133.11/997.12
  6. Step 6: Final answer
    x = 616.91

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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.