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Finding the Fourth Proportional to 1,236.97, 1,856.06 and 506.75

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Solution

The fourth proportional to 1,236.97, 1,856.06 and 506.75 is: 760.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.97 : 1,856.06 = 506.75 : x
  2. Step 2: Convert to fraction form
    1,236.97/1,856.06 = 506.75/x
  3. Step 3: Cross multiply
    1,236.97x = 1,856.06 × 506.75
  4. Step 4: Simplify right side
    1,236.97x = 940,555.87
  5. Step 5: Solve for x
    x = 940,555.87/1,236.97
  6. Step 6: Final answer
    x = 760.37

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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.