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Finding the Fourth Proportional to 1,080.86, 1,617.03 and 684.18

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Solution

The fourth proportional to 1,080.86, 1,617.03 and 684.18 is: 1,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.86 : 1,617.03 = 684.18 : x
  2. Step 2: Convert to fraction form
    1,080.86/1,617.03 = 684.18/x
  3. Step 3: Cross multiply
    1,080.86x = 1,617.03 × 684.18
  4. Step 4: Simplify right side
    1,080.86x = 1,106,339.59
  5. Step 5: Solve for x
    x = 1,106,339.59/1,080.86
  6. Step 6: Final answer
    x = 1,023.58

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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.