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Finding the Fourth Proportional to 680.41, 1,020.78 and 218.19

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Solution

The fourth proportional to 680.41, 1,020.78 and 218.19 is: 327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.41 : 1,020.78 = 218.19 : x
  2. Step 2: Convert to fraction form
    680.41/1,020.78 = 218.19/x
  3. Step 3: Cross multiply
    680.41x = 1,020.78 × 218.19
  4. Step 4: Simplify right side
    680.41x = 222,723.99
  5. Step 5: Solve for x
    x = 222,723.99/680.41
  6. Step 6: Final answer
    x = 327.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.