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Finding the Fourth Proportional to 1,236.92, 1,855.64 and 506.57

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Solution

The fourth proportional to 1,236.92, 1,855.64 and 506.57 is: 759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.92 : 1,855.64 = 506.57 : x
  2. Step 2: Convert to fraction form
    1,236.92/1,855.64 = 506.57/x
  3. Step 3: Cross multiply
    1,236.92x = 1,855.64 × 506.57
  4. Step 4: Simplify right side
    1,236.92x = 940,003.54
  5. Step 5: Solve for x
    x = 940,003.54/1,236.92
  6. Step 6: Final answer
    x = 759.96

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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.