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Finding the Fourth Proportional to 1,080.26, 1,620.23 and 386.82

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Solution

The fourth proportional to 1,080.26, 1,620.23 and 386.82 is: 580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.26 : 1,620.23 = 386.82 : x
  2. Step 2: Convert to fraction form
    1,080.26/1,620.23 = 386.82/x
  3. Step 3: Cross multiply
    1,080.26x = 1,620.23 × 386.82
  4. Step 4: Simplify right side
    1,080.26x = 626,735.43
  5. Step 5: Solve for x
    x = 626,735.43/1,080.26
  6. Step 6: Final answer
    x = 580.17

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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.