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Finding the Fourth Proportional to 997.06, 1,493.15 and 822.66

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Solution

The fourth proportional to 997.06, 1,493.15 and 822.66 is: 1,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.06 : 1,493.15 = 822.66 : x
  2. Step 2: Convert to fraction form
    997.06/1,493.15 = 822.66/x
  3. Step 3: Cross multiply
    997.06x = 1,493.15 × 822.66
  4. Step 4: Simplify right side
    997.06x = 1,228,354.78
  5. Step 5: Solve for x
    x = 1,228,354.78/997.06
  6. Step 6: Final answer
    x = 1,231.98

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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.