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Finding the Fourth Proportional to 1,080.09, 1,619.73 and 618.21

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Solution

The fourth proportional to 1,080.09, 1,619.73 and 618.21 is: 927.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.09 : 1,619.73 = 618.21 : x
  2. Step 2: Convert to fraction form
    1,080.09/1,619.73 = 618.21/x
  3. Step 3: Cross multiply
    1,080.09x = 1,619.73 × 618.21
  4. Step 4: Simplify right side
    1,080.09x = 1,001,333.28
  5. Step 5: Solve for x
    x = 1,001,333.28/1,080.09
  6. Step 6: Final answer
    x = 927.08

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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.