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Finding the Fourth Proportional to 997.85, 1,493.69 and 850.23

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Solution

The fourth proportional to 997.85, 1,493.69 and 850.23 is: 1,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.85 : 1,493.69 = 850.23 : x
  2. Step 2: Convert to fraction form
    997.85/1,493.69 = 850.23/x
  3. Step 3: Cross multiply
    997.85x = 1,493.69 × 850.23
  4. Step 4: Simplify right side
    997.85x = 1,269,975.80
  5. Step 5: Solve for x
    x = 1,269,975.80/997.85
  6. Step 6: Final answer
    x = 1,272.72

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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.