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Finding the Fourth Proportional to 682.18, 1,023.39 and 219.99

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Solution

The fourth proportional to 682.18, 1,023.39 and 219.99 is: 330.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.18 : 1,023.39 = 219.99 : x
  2. Step 2: Convert to fraction form
    682.18/1,023.39 = 219.99/x
  3. Step 3: Cross multiply
    682.18x = 1,023.39 × 219.99
  4. Step 4: Simplify right side
    682.18x = 225,135.57
  5. Step 5: Solve for x
    x = 225,135.57/682.18
  6. Step 6: Final answer
    x = 330.02

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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.