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Finding the Fourth Proportional to 1,382.41, 2,069.07 and 835.66

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Solution

The fourth proportional to 1,382.41, 2,069.07 and 835.66 is: 1,250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.41 : 2,069.07 = 835.66 : x
  2. Step 2: Convert to fraction form
    1,382.41/2,069.07 = 835.66/x
  3. Step 3: Cross multiply
    1,382.41x = 2,069.07 × 835.66
  4. Step 4: Simplify right side
    1,382.41x = 1,729,039.04
  5. Step 5: Solve for x
    x = 1,729,039.04/1,382.41
  6. Step 6: Final answer
    x = 1,250.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.