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Finding the Fourth Proportional to 679.39, 1,019.16 and 268.57

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Solution

The fourth proportional to 679.39, 1,019.16 and 268.57 is: 402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.39 : 1,019.16 = 268.57 : x
  2. Step 2: Convert to fraction form
    679.39/1,019.16 = 268.57/x
  3. Step 3: Cross multiply
    679.39x = 1,019.16 × 268.57
  4. Step 4: Simplify right side
    679.39x = 273,715.80
  5. Step 5: Solve for x
    x = 273,715.80/679.39
  6. Step 6: Final answer
    x = 402.88

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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.