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Finding the Fourth Proportional to 1,079.82, 1,619.73 and 349.23

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Solution

The fourth proportional to 1,079.82, 1,619.73 and 349.23 is: 523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.82 : 1,619.73 = 349.23 : x
  2. Step 2: Convert to fraction form
    1,079.82/1,619.73 = 349.23/x
  3. Step 3: Cross multiply
    1,079.82x = 1,619.73 × 349.23
  4. Step 4: Simplify right side
    1,079.82x = 565,658.31
  5. Step 5: Solve for x
    x = 565,658.31/1,079.82
  6. Step 6: Final answer
    x = 523.85

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Why These Related Problems?

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