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Finding the Fourth Proportional to 1,080.43, 1,620.30 and 689.88

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Solution

The fourth proportional to 1,080.43, 1,620.30 and 689.88 is: 1,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.43 : 1,620.30 = 689.88 : x
  2. Step 2: Convert to fraction form
    1,080.43/1,620.30 = 689.88/x
  3. Step 3: Cross multiply
    1,080.43x = 1,620.30 × 689.88
  4. Step 4: Simplify right side
    1,080.43x = 1,117,812.56
  5. Step 5: Solve for x
    x = 1,117,812.56/1,080.43
  6. Step 6: Final answer
    x = 1,034.60

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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.