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Finding the Fourth Proportional to 1,227.09, 1,838.07 and 739.88

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Solution

The fourth proportional to 1,227.09, 1,838.07 and 739.88 is: 1,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.09 : 1,838.07 = 739.88 : x
  2. Step 2: Convert to fraction form
    1,227.09/1,838.07 = 739.88/x
  3. Step 3: Cross multiply
    1,227.09x = 1,838.07 × 739.88
  4. Step 4: Simplify right side
    1,227.09x = 1,359,942.04
  5. Step 5: Solve for x
    x = 1,359,942.04/1,227.09
  6. Step 6: Final answer
    x = 1,108.27

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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.