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Finding the Fourth Proportional to 1,380.78, 1,905.39 and 791.28

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Solution

The fourth proportional to 1,380.78, 1,905.39 and 791.28 is: 1,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.78 : 1,905.39 = 791.28 : x
  2. Step 2: Convert to fraction form
    1,380.78/1,905.39 = 791.28/x
  3. Step 3: Cross multiply
    1,380.78x = 1,905.39 × 791.28
  4. Step 4: Simplify right side
    1,380.78x = 1,507,697.00
  5. Step 5: Solve for x
    x = 1,507,697.00/1,380.78
  6. Step 6: Final answer
    x = 1,091.92

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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.