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Finding the Fourth Proportional to 1,081.75, 1,623.30 and 838.75

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Solution

The fourth proportional to 1,081.75, 1,623.30 and 838.75 is: 1,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.75 : 1,623.30 = 838.75 : x
  2. Step 2: Convert to fraction form
    1,081.75/1,623.30 = 838.75/x
  3. Step 3: Cross multiply
    1,081.75x = 1,623.30 × 838.75
  4. Step 4: Simplify right side
    1,081.75x = 1,361,542.88
  5. Step 5: Solve for x
    x = 1,361,542.88/1,081.75
  6. Step 6: Final answer
    x = 1,258.65

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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.