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Finding the Fourth Proportional to 1,327.59, 1,990.17 and 711.79

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Solution

The fourth proportional to 1,327.59, 1,990.17 and 711.79 is: 1,067.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.59 : 1,990.17 = 711.79 : x
  2. Step 2: Convert to fraction form
    1,327.59/1,990.17 = 711.79/x
  3. Step 3: Cross multiply
    1,327.59x = 1,990.17 × 711.79
  4. Step 4: Simplify right side
    1,327.59x = 1,416,578.13
  5. Step 5: Solve for x
    x = 1,416,578.13/1,327.59
  6. Step 6: Final answer
    x = 1,067.03

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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.