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Finding the Fourth Proportional to 1,080.24, 1,620.99 and 1,011.90

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Solution

The fourth proportional to 1,080.24, 1,620.99 and 1,011.90 is: 1,518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.24 : 1,620.99 = 1,011.90 : x
  2. Step 2: Convert to fraction form
    1,080.24/1,620.99 = 1,011.90/x
  3. Step 3: Cross multiply
    1,080.24x = 1,620.99 × 1,011.90
  4. Step 4: Simplify right side
    1,080.24x = 1,640,279.78
  5. Step 5: Solve for x
    x = 1,640,279.78/1,080.24
  6. Step 6: Final answer
    x = 1,518.44

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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.