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Finding the Fourth Proportional to 1,227.66, 1,841.23 and 768.27

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Solution

The fourth proportional to 1,227.66, 1,841.23 and 768.27 is: 1,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.66 : 1,841.23 = 768.27 : x
  2. Step 2: Convert to fraction form
    1,227.66/1,841.23 = 768.27/x
  3. Step 3: Cross multiply
    1,227.66x = 1,841.23 × 768.27
  4. Step 4: Simplify right side
    1,227.66x = 1,414,561.77
  5. Step 5: Solve for x
    x = 1,414,561.77/1,227.66
  6. Step 6: Final answer
    x = 1,152.24

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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.