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Finding the Fourth Proportional to 837.80, 1,255.29 and 512.49

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Solution

The fourth proportional to 837.80, 1,255.29 and 512.49 is: 767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.80 : 1,255.29 = 512.49 : x
  2. Step 2: Convert to fraction form
    837.80/1,255.29 = 512.49/x
  3. Step 3: Cross multiply
    837.80x = 1,255.29 × 512.49
  4. Step 4: Simplify right side
    837.80x = 643,323.57
  5. Step 5: Solve for x
    x = 643,323.57/837.80
  6. Step 6: Final answer
    x = 767.87

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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.