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Finding the Fourth Proportional to 1,305.36, 1,958.40 and 439.80

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Solution

The fourth proportional to 1,305.36, 1,958.40 and 439.80 is: 659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.36 : 1,958.40 = 439.80 : x
  2. Step 2: Convert to fraction form
    1,305.36/1,958.40 = 439.80/x
  3. Step 3: Cross multiply
    1,305.36x = 1,958.40 × 439.80
  4. Step 4: Simplify right side
    1,305.36x = 861,304.32
  5. Step 5: Solve for x
    x = 861,304.32/1,305.36
  6. Step 6: Final answer
    x = 659.82

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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.