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Finding the Fourth Proportional to 1,251.69, 1,877.38 and 327.24

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Solution

The fourth proportional to 1,251.69, 1,877.38 and 327.24 is: 490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.69 : 1,877.38 = 327.24 : x
  2. Step 2: Convert to fraction form
    1,251.69/1,877.38 = 327.24/x
  3. Step 3: Cross multiply
    1,251.69x = 1,877.38 × 327.24
  4. Step 4: Simplify right side
    1,251.69x = 614,353.83
  5. Step 5: Solve for x
    x = 614,353.83/1,251.69
  6. Step 6: Final answer
    x = 490.82

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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.