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Finding the Fourth Proportional to 1,382.66, 2,074.49 and 689.27

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Solution

The fourth proportional to 1,382.66, 2,074.49 and 689.27 is: 1,034.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.66 : 2,074.49 = 689.27 : x
  2. Step 2: Convert to fraction form
    1,382.66/2,074.49 = 689.27/x
  3. Step 3: Cross multiply
    1,382.66x = 2,074.49 × 689.27
  4. Step 4: Simplify right side
    1,382.66x = 1,429,890.63
  5. Step 5: Solve for x
    x = 1,429,890.63/1,382.66
  6. Step 6: Final answer
    x = 1,034.16

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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.