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Finding the Fourth Proportional to 679.67, 1,019.84 and 269.10

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Solution

The fourth proportional to 679.67, 1,019.84 and 269.10 is: 403.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.67 : 1,019.84 = 269.10 : x
  2. Step 2: Convert to fraction form
    679.67/1,019.84 = 269.10/x
  3. Step 3: Cross multiply
    679.67x = 1,019.84 × 269.10
  4. Step 4: Simplify right side
    679.67x = 274,438.94
  5. Step 5: Solve for x
    x = 274,438.94/679.67
  6. Step 6: Final answer
    x = 403.78

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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.