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Finding the Fourth Proportional to 1,079.82, 1,619.55 and 349.29

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Solution

The fourth proportional to 1,079.82, 1,619.55 and 349.29 is: 523.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.82 : 1,619.55 = 349.29 : x
  2. Step 2: Convert to fraction form
    1,079.82/1,619.55 = 349.29/x
  3. Step 3: Cross multiply
    1,079.82x = 1,619.55 × 349.29
  4. Step 4: Simplify right side
    1,079.82x = 565,692.62
  5. Step 5: Solve for x
    x = 565,692.62/1,079.82
  6. Step 6: Final answer
    x = 523.88

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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.