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Finding the Fourth Proportional to 1,149.42, 1,724.39 and 327.76

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Solution

The fourth proportional to 1,149.42, 1,724.39 and 327.76 is: 491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.42 : 1,724.39 = 327.76 : x
  2. Step 2: Convert to fraction form
    1,149.42/1,724.39 = 327.76/x
  3. Step 3: Cross multiply
    1,149.42x = 1,724.39 × 327.76
  4. Step 4: Simplify right side
    1,149.42x = 565,186.07
  5. Step 5: Solve for x
    x = 565,186.07/1,149.42
  6. Step 6: Final answer
    x = 491.71

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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.