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Finding the Fourth Proportional to 682.04, 1,023.10 and 219.79

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Solution

The fourth proportional to 682.04, 1,023.10 and 219.79 is: 329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.04 : 1,023.10 = 219.79 : x
  2. Step 2: Convert to fraction form
    682.04/1,023.10 = 219.79/x
  3. Step 3: Cross multiply
    682.04x = 1,023.10 × 219.79
  4. Step 4: Simplify right side
    682.04x = 224,867.15
  5. Step 5: Solve for x
    x = 224,867.15/682.04
  6. Step 6: Final answer
    x = 329.70

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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.