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Finding the Fourth Proportional to 997.25, 1,494.85 and 412.66

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Solution

The fourth proportional to 997.25, 1,494.85 and 412.66 is: 618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.25 : 1,494.85 = 412.66 : x
  2. Step 2: Convert to fraction form
    997.25/1,494.85 = 412.66/x
  3. Step 3: Cross multiply
    997.25x = 1,494.85 × 412.66
  4. Step 4: Simplify right side
    997.25x = 616,864.80
  5. Step 5: Solve for x
    x = 616,864.80/997.25
  6. Step 6: Final answer
    x = 618.57

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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.