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Finding the Fourth Proportional to 680.80, 1,020.82 and 218.45

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Solution

The fourth proportional to 680.80, 1,020.82 and 218.45 is: 327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.80 : 1,020.82 = 218.45 : x
  2. Step 2: Convert to fraction form
    680.80/1,020.82 = 218.45/x
  3. Step 3: Cross multiply
    680.80x = 1,020.82 × 218.45
  4. Step 4: Simplify right side
    680.80x = 222,998.13
  5. Step 5: Solve for x
    x = 222,998.13/680.80
  6. Step 6: Final answer
    x = 327.55

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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.