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Finding the Fourth Proportional to 1,238.29, 1,856.41 and 965.59

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Solution

The fourth proportional to 1,238.29, 1,856.41 and 965.59 is: 1,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.29 : 1,856.41 = 965.59 : x
  2. Step 2: Convert to fraction form
    1,238.29/1,856.41 = 965.59/x
  3. Step 3: Cross multiply
    1,238.29x = 1,856.41 × 965.59
  4. Step 4: Simplify right side
    1,238.29x = 1,792,523.88
  5. Step 5: Solve for x
    x = 1,792,523.88/1,238.29
  6. Step 6: Final answer
    x = 1,447.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.