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Finding the Fourth Proportional to 1,290.82, 1,779.31 and 1,080.62

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Solution

The fourth proportional to 1,290.82, 1,779.31 and 1,080.62 is: 1,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.82 : 1,779.31 = 1,080.62 : x
  2. Step 2: Convert to fraction form
    1,290.82/1,779.31 = 1,080.62/x
  3. Step 3: Cross multiply
    1,290.82x = 1,779.31 × 1,080.62
  4. Step 4: Simplify right side
    1,290.82x = 1,922,757.97
  5. Step 5: Solve for x
    x = 1,922,757.97/1,290.82
  6. Step 6: Final answer
    x = 1,489.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.