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Finding the Fourth Proportional to 1,216.20, 1,677.73 and 717.97

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Solution

The fourth proportional to 1,216.20, 1,677.73 and 717.97 is: 990.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.20 : 1,677.73 = 717.97 : x
  2. Step 2: Convert to fraction form
    1,216.20/1,677.73 = 717.97/x
  3. Step 3: Cross multiply
    1,216.20x = 1,677.73 × 717.97
  4. Step 4: Simplify right side
    1,216.20x = 1,204,556.46
  5. Step 5: Solve for x
    x = 1,204,556.46/1,216.20
  6. Step 6: Final answer
    x = 990.43

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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.