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Finding the Fourth Proportional to 1,227.75, 1,840.01 and 680.19

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Solution

The fourth proportional to 1,227.75, 1,840.01 and 680.19 is: 1,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.75 : 1,840.01 = 680.19 : x
  2. Step 2: Convert to fraction form
    1,227.75/1,840.01 = 680.19/x
  3. Step 3: Cross multiply
    1,227.75x = 1,840.01 × 680.19
  4. Step 4: Simplify right side
    1,227.75x = 1,251,553.00
  5. Step 5: Solve for x
    x = 1,251,553.00/1,227.75
  6. Step 6: Final answer
    x = 1,019.39

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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.