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Finding the Fourth Proportional to 1,480.38, 2,042.69 and 850.79

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Solution

The fourth proportional to 1,480.38, 2,042.69 and 850.79 is: 1,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.38 : 2,042.69 = 850.79 : x
  2. Step 2: Convert to fraction form
    1,480.38/2,042.69 = 850.79/x
  3. Step 3: Cross multiply
    1,480.38x = 2,042.69 × 850.79
  4. Step 4: Simplify right side
    1,480.38x = 1,737,900.23
  5. Step 5: Solve for x
    x = 1,737,900.23/1,480.38
  6. Step 6: Final answer
    x = 1,173.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.