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Finding the Fourth Proportional to 1,080.44, 1,619.55 and 464.30

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Solution

The fourth proportional to 1,080.44, 1,619.55 and 464.30 is: 695.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.44 : 1,619.55 = 464.30 : x
  2. Step 2: Convert to fraction form
    1,080.44/1,619.55 = 464.30/x
  3. Step 3: Cross multiply
    1,080.44x = 1,619.55 × 464.30
  4. Step 4: Simplify right side
    1,080.44x = 751,948.97
  5. Step 5: Solve for x
    x = 751,948.97/1,080.44
  6. Step 6: Final answer
    x = 695.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.