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Finding the Fourth Proportional to 1,382.31, 2,074.12 and 689.03

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Solution

The fourth proportional to 1,382.31, 2,074.12 and 689.03 is: 1,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.31 : 2,074.12 = 689.03 : x
  2. Step 2: Convert to fraction form
    1,382.31/2,074.12 = 689.03/x
  3. Step 3: Cross multiply
    1,382.31x = 2,074.12 × 689.03
  4. Step 4: Simplify right side
    1,382.31x = 1,429,130.90
  5. Step 5: Solve for x
    x = 1,429,130.90/1,382.31
  6. Step 6: Final answer
    x = 1,033.87

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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.