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Finding the Fourth Proportional to 1,238.78, 1,709.69 and 797.96

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Solution

The fourth proportional to 1,238.78, 1,709.69 and 797.96 is: 1,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.78 : 1,709.69 = 797.96 : x
  2. Step 2: Convert to fraction form
    1,238.78/1,709.69 = 797.96/x
  3. Step 3: Cross multiply
    1,238.78x = 1,709.69 × 797.96
  4. Step 4: Simplify right side
    1,238.78x = 1,364,251.69
  5. Step 5: Solve for x
    x = 1,364,251.69/1,238.78
  6. Step 6: Final answer
    x = 1,101.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.