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Finding the Fourth Proportional to 1,380.59, 1,905.21 and 791.46

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Solution

The fourth proportional to 1,380.59, 1,905.21 and 791.46 is: 1,092.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.59 : 1,905.21 = 791.46 : x
  2. Step 2: Convert to fraction form
    1,380.59/1,905.21 = 791.46/x
  3. Step 3: Cross multiply
    1,380.59x = 1,905.21 × 791.46
  4. Step 4: Simplify right side
    1,380.59x = 1,507,901.75
  5. Step 5: Solve for x
    x = 1,507,901.75/1,380.59
  6. Step 6: Final answer
    x = 1,092.22

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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.