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Finding the Fourth Proportional to 1,149.58, 1,724.43 and 327.92

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Solution

The fourth proportional to 1,149.58, 1,724.43 and 327.92 is: 491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.58 : 1,724.43 = 327.92 : x
  2. Step 2: Convert to fraction form
    1,149.58/1,724.43 = 327.92/x
  3. Step 3: Cross multiply
    1,149.58x = 1,724.43 × 327.92
  4. Step 4: Simplify right side
    1,149.58x = 565,475.09
  5. Step 5: Solve for x
    x = 565,475.09/1,149.58
  6. Step 6: Final answer
    x = 491.90

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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.