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Finding the Fourth Proportional to 1,238.15, 1,709.42 and 796.82

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Solution

The fourth proportional to 1,238.15, 1,709.42 and 796.82 is: 1,100.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.15 : 1,709.42 = 796.82 : x
  2. Step 2: Convert to fraction form
    1,238.15/1,709.42 = 796.82/x
  3. Step 3: Cross multiply
    1,238.15x = 1,709.42 × 796.82
  4. Step 4: Simplify right side
    1,238.15x = 1,362,096.20
  5. Step 5: Solve for x
    x = 1,362,096.20/1,238.15
  6. Step 6: Final answer
    x = 1,100.11

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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.