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Finding the Fourth Proportional to 1,080.56, 1,619.44 and 942.96

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Solution

The fourth proportional to 1,080.56, 1,619.44 and 942.96 is: 1,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.56 : 1,619.44 = 942.96 : x
  2. Step 2: Convert to fraction form
    1,080.56/1,619.44 = 942.96/x
  3. Step 3: Cross multiply
    1,080.56x = 1,619.44 × 942.96
  4. Step 4: Simplify right side
    1,080.56x = 1,527,067.14
  5. Step 5: Solve for x
    x = 1,527,067.14/1,080.56
  6. Step 6: Final answer
    x = 1,413.22

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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.