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Finding the Fourth Proportional to 1,149.62, 1,724.18 and 327.88

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Solution

The fourth proportional to 1,149.62, 1,724.18 and 327.88 is: 491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.62 : 1,724.18 = 327.88 : x
  2. Step 2: Convert to fraction form
    1,149.62/1,724.18 = 327.88/x
  3. Step 3: Cross multiply
    1,149.62x = 1,724.18 × 327.88
  4. Step 4: Simplify right side
    1,149.62x = 565,324.14
  5. Step 5: Solve for x
    x = 565,324.14/1,149.62
  6. Step 6: Final answer
    x = 491.75

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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.