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Finding the Fourth Proportional to 1,327.96, 1,991.14 and 779.88

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Solution

The fourth proportional to 1,327.96, 1,991.14 and 779.88 is: 1,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.96 : 1,991.14 = 779.88 : x
  2. Step 2: Convert to fraction form
    1,327.96/1,991.14 = 779.88/x
  3. Step 3: Cross multiply
    1,327.96x = 1,991.14 × 779.88
  4. Step 4: Simplify right side
    1,327.96x = 1,552,850.26
  5. Step 5: Solve for x
    x = 1,552,850.26/1,327.96
  6. Step 6: Final answer
    x = 1,169.35

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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.