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Finding the Fourth Proportional to 1,392.15, 1,921.20 and 794.78

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Solution

The fourth proportional to 1,392.15, 1,921.20 and 794.78 is: 1,096.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.15 : 1,921.20 = 794.78 : x
  2. Step 2: Convert to fraction form
    1,392.15/1,921.20 = 794.78/x
  3. Step 3: Cross multiply
    1,392.15x = 1,921.20 × 794.78
  4. Step 4: Simplify right side
    1,392.15x = 1,526,921.73
  5. Step 5: Solve for x
    x = 1,526,921.73/1,392.15
  6. Step 6: Final answer
    x = 1,096.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.