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Finding the Fourth Proportional to 1,227.76, 1,838.04 and 793.68

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Solution

The fourth proportional to 1,227.76, 1,838.04 and 793.68 is: 1,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.76 : 1,838.04 = 793.68 : x
  2. Step 2: Convert to fraction form
    1,227.76/1,838.04 = 793.68/x
  3. Step 3: Cross multiply
    1,227.76x = 1,838.04 × 793.68
  4. Step 4: Simplify right side
    1,227.76x = 1,458,815.59
  5. Step 5: Solve for x
    x = 1,458,815.59/1,227.76
  6. Step 6: Final answer
    x = 1,188.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.