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Finding the Fourth Proportional to 680.75, 1,021.24 and 218.54

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Solution

The fourth proportional to 680.75, 1,021.24 and 218.54 is: 327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.75 : 1,021.24 = 218.54 : x
  2. Step 2: Convert to fraction form
    680.75/1,021.24 = 218.54/x
  3. Step 3: Cross multiply
    680.75x = 1,021.24 × 218.54
  4. Step 4: Simplify right side
    680.75x = 223,181.79
  5. Step 5: Solve for x
    x = 223,181.79/680.75
  6. Step 6: Final answer
    x = 327.85

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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.