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Finding the Fourth Proportional to 679.73, 1,019.79 and 269.19

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Solution

The fourth proportional to 679.73, 1,019.79 and 269.19 is: 403.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.73 : 1,019.79 = 269.19 : x
  2. Step 2: Convert to fraction form
    679.73/1,019.79 = 269.19/x
  3. Step 3: Cross multiply
    679.73x = 1,019.79 × 269.19
  4. Step 4: Simplify right side
    679.73x = 274,517.27
  5. Step 5: Solve for x
    x = 274,517.27/679.73
  6. Step 6: Final answer
    x = 403.87

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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.