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Finding the Fourth Proportional to 837.82, 1,255.74 and 512.44

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Solution

The fourth proportional to 837.82, 1,255.74 and 512.44 is: 768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.82 : 1,255.74 = 512.44 : x
  2. Step 2: Convert to fraction form
    837.82/1,255.74 = 512.44/x
  3. Step 3: Cross multiply
    837.82x = 1,255.74 × 512.44
  4. Step 4: Simplify right side
    837.82x = 643,491.41
  5. Step 5: Solve for x
    x = 643,491.41/837.82
  6. Step 6: Final answer
    x = 768.05

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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.