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Finding the Fourth Proportional to 1,238.26, 1,855.81 and 506.97

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Solution

The fourth proportional to 1,238.26, 1,855.81 and 506.97 is: 759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.26 : 1,855.81 = 506.97 : x
  2. Step 2: Convert to fraction form
    1,238.26/1,855.81 = 506.97/x
  3. Step 3: Cross multiply
    1,238.26x = 1,855.81 × 506.97
  4. Step 4: Simplify right side
    1,238.26x = 940,840.00
  5. Step 5: Solve for x
    x = 940,840.00/1,238.26
  6. Step 6: Final answer
    x = 759.81

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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.