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Finding the Fourth Proportional to 998.15, 1,497.42 and 822.69

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Solution

The fourth proportional to 998.15, 1,497.42 and 822.69 is: 1,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.15 : 1,497.42 = 822.69 : x
  2. Step 2: Convert to fraction form
    998.15/1,497.42 = 822.69/x
  3. Step 3: Cross multiply
    998.15x = 1,497.42 × 822.69
  4. Step 4: Simplify right side
    998.15x = 1,231,912.46
  5. Step 5: Solve for x
    x = 1,231,912.46/998.15
  6. Step 6: Final answer
    x = 1,234.20

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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.