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Finding the Fourth Proportional to 997.56, 1,498.02 and 824.28

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Solution

The fourth proportional to 997.56, 1,498.02 and 824.28 is: 1,237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.56 : 1,498.02 = 824.28 : x
  2. Step 2: Convert to fraction form
    997.56/1,498.02 = 824.28/x
  3. Step 3: Cross multiply
    997.56x = 1,498.02 × 824.28
  4. Step 4: Simplify right side
    997.56x = 1,234,787.93
  5. Step 5: Solve for x
    x = 1,234,787.93/997.56
  6. Step 6: Final answer
    x = 1,237.81

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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.