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Finding the Fourth Proportional to 1,236.09, 1,850.26 and 686.51

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Solution

The fourth proportional to 1,236.09, 1,850.26 and 686.51 is: 1,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.09 : 1,850.26 = 686.51 : x
  2. Step 2: Convert to fraction form
    1,236.09/1,850.26 = 686.51/x
  3. Step 3: Cross multiply
    1,236.09x = 1,850.26 × 686.51
  4. Step 4: Simplify right side
    1,236.09x = 1,270,221.99
  5. Step 5: Solve for x
    x = 1,270,221.99/1,236.09
  6. Step 6: Final answer
    x = 1,027.61

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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.