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Finding the Fourth Proportional to 679.15, 1,016.72 and 506.57

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Solution

The fourth proportional to 679.15, 1,016.72 and 506.57 is: 758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.15 : 1,016.72 = 506.57 : x
  2. Step 2: Convert to fraction form
    679.15/1,016.72 = 506.57/x
  3. Step 3: Cross multiply
    679.15x = 1,016.72 × 506.57
  4. Step 4: Simplify right side
    679.15x = 515,039.86
  5. Step 5: Solve for x
    x = 515,039.86/679.15
  6. Step 6: Final answer
    x = 758.36

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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.