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Finding the Fourth Proportional to 1,227.86, 1,841.64 and 727.83

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Solution

The fourth proportional to 1,227.86, 1,841.64 and 727.83 is: 1,091.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.86 : 1,841.64 = 727.83 : x
  2. Step 2: Convert to fraction form
    1,227.86/1,841.64 = 727.83/x
  3. Step 3: Cross multiply
    1,227.86x = 1,841.64 × 727.83
  4. Step 4: Simplify right side
    1,227.86x = 1,340,400.84
  5. Step 5: Solve for x
    x = 1,340,400.84/1,227.86
  6. Step 6: Final answer
    x = 1,091.66

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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.