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Finding the Fourth Proportional to 997.88, 1,378.48 and 850.44

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Solution

The fourth proportional to 997.88, 1,378.48 and 850.44 is: 1,174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.88 : 1,378.48 = 850.44 : x
  2. Step 2: Convert to fraction form
    997.88/1,378.48 = 850.44/x
  3. Step 3: Cross multiply
    997.88x = 1,378.48 × 850.44
  4. Step 4: Simplify right side
    997.88x = 1,172,314.53
  5. Step 5: Solve for x
    x = 1,172,314.53/997.88
  6. Step 6: Final answer
    x = 1,174.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.