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Finding the Fourth Proportional to 997.08, 1,493.56 and 584.97

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Solution

The fourth proportional to 997.08, 1,493.56 and 584.97 is: 876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.08 : 1,493.56 = 584.97 : x
  2. Step 2: Convert to fraction form
    997.08/1,493.56 = 584.97/x
  3. Step 3: Cross multiply
    997.08x = 1,493.56 × 584.97
  4. Step 4: Simplify right side
    997.08x = 873,687.79
  5. Step 5: Solve for x
    x = 873,687.79/997.08
  6. Step 6: Final answer
    x = 876.25

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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.