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Finding the Fourth Proportional to 1,305.42, 1,789.80 and 1,282.03

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Solution

The fourth proportional to 1,305.42, 1,789.80 and 1,282.03 is: 1,757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.42 : 1,789.80 = 1,282.03 : x
  2. Step 2: Convert to fraction form
    1,305.42/1,789.80 = 1,282.03/x
  3. Step 3: Cross multiply
    1,305.42x = 1,789.80 × 1,282.03
  4. Step 4: Simplify right side
    1,305.42x = 2,294,568.01
  5. Step 5: Solve for x
    x = 2,294,568.01/1,305.42
  6. Step 6: Final answer
    x = 1,757.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.