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Finding the Fourth Proportional to 680.84, 1,021.38 and 218.53

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Solution

The fourth proportional to 680.84, 1,021.38 and 218.53 is: 327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.84 : 1,021.38 = 218.53 : x
  2. Step 2: Convert to fraction form
    680.84/1,021.38 = 218.53/x
  3. Step 3: Cross multiply
    680.84x = 1,021.38 × 218.53
  4. Step 4: Simplify right side
    680.84x = 223,202.63
  5. Step 5: Solve for x
    x = 223,202.63/680.84
  6. Step 6: Final answer
    x = 327.83

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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.