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Finding the Fourth Proportional to 1,305.48, 1,958.22 and 439.79

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Solution

The fourth proportional to 1,305.48, 1,958.22 and 439.79 is: 659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.48 : 1,958.22 = 439.79 : x
  2. Step 2: Convert to fraction form
    1,305.48/1,958.22 = 439.79/x
  3. Step 3: Cross multiply
    1,305.48x = 1,958.22 × 439.79
  4. Step 4: Simplify right side
    1,305.48x = 861,205.57
  5. Step 5: Solve for x
    x = 861,205.57/1,305.48
  6. Step 6: Final answer
    x = 659.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.