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Finding the Fourth Proportional to 996.36, 1,493.94 and 850.20

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Solution

The fourth proportional to 996.36, 1,493.94 and 850.20 is: 1,274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.36 : 1,493.94 = 850.20 : x
  2. Step 2: Convert to fraction form
    996.36/1,493.94 = 850.20/x
  3. Step 3: Cross multiply
    996.36x = 1,493.94 × 850.20
  4. Step 4: Simplify right side
    996.36x = 1,270,147.79
  5. Step 5: Solve for x
    x = 1,270,147.79/996.36
  6. Step 6: Final answer
    x = 1,274.79

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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.