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Finding the Fourth Proportional to 837.80, 1,256.10 and 512.82

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Solution

The fourth proportional to 837.80, 1,256.10 and 512.82 is: 768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.80 : 1,256.10 = 512.82 : x
  2. Step 2: Convert to fraction form
    837.80/1,256.10 = 512.82/x
  3. Step 3: Cross multiply
    837.80x = 1,256.10 × 512.82
  4. Step 4: Simplify right side
    837.80x = 644,153.20
  5. Step 5: Solve for x
    x = 644,153.20/837.80
  6. Step 6: Final answer
    x = 768.86

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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.