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Finding the Fourth Proportional to 1,192.76, 1,789.14 and 327.14

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Solution

The fourth proportional to 1,192.76, 1,789.14 and 327.14 is: 490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.76 : 1,789.14 = 327.14 : x
  2. Step 2: Convert to fraction form
    1,192.76/1,789.14 = 327.14/x
  3. Step 3: Cross multiply
    1,192.76x = 1,789.14 × 327.14
  4. Step 4: Simplify right side
    1,192.76x = 585,299.26
  5. Step 5: Solve for x
    x = 585,299.26/1,192.76
  6. Step 6: Final answer
    x = 490.71

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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.