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Finding the Fourth Proportional to 997.99, 1,369.78 and 914.90

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Solution

The fourth proportional to 997.99, 1,369.78 and 914.90 is: 1,255.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.99 : 1,369.78 = 914.90 : x
  2. Step 2: Convert to fraction form
    997.99/1,369.78 = 914.90/x
  3. Step 3: Cross multiply
    997.99x = 1,369.78 × 914.90
  4. Step 4: Simplify right side
    997.99x = 1,253,202.59
  5. Step 5: Solve for x
    x = 1,253,202.59/997.99
  6. Step 6: Final answer
    x = 1,255.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.