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Finding the Fourth Proportional to 1,238.20, 1,856.10 and 506.80

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Solution

The fourth proportional to 1,238.20, 1,856.10 and 506.80 is: 759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.20 : 1,856.10 = 506.80 : x
  2. Step 2: Convert to fraction form
    1,238.20/1,856.10 = 506.80/x
  3. Step 3: Cross multiply
    1,238.20x = 1,856.10 × 506.80
  4. Step 4: Simplify right side
    1,238.20x = 940,671.48
  5. Step 5: Solve for x
    x = 940,671.48/1,238.20
  6. Step 6: Final answer
    x = 759.71

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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.