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Finding the Fourth Proportional to 1,327.38, 1,994 and 865.88

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Solution

The fourth proportional to 1,327.38, 1,994 and 865.88 is: 1,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.38 : 1,994 = 865.88 : x
  2. Step 2: Convert to fraction form
    1,327.38/1,994 = 865.88/x
  3. Step 3: Cross multiply
    1,327.38x = 1,994 × 865.88
  4. Step 4: Simplify right side
    1,327.38x = 1,726,564.72
  5. Step 5: Solve for x
    x = 1,726,564.72/1,327.38
  6. Step 6: Final answer
    x = 1,300.73

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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.