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Finding the Fourth Proportional to 796.05, 1,100.07 and 599.22

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Solution

The fourth proportional to 796.05, 1,100.07 and 599.22 is: 828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.05 : 1,100.07 = 599.22 : x
  2. Step 2: Convert to fraction form
    796.05/1,100.07 = 599.22/x
  3. Step 3: Cross multiply
    796.05x = 1,100.07 × 599.22
  4. Step 4: Simplify right side
    796.05x = 659,183.95
  5. Step 5: Solve for x
    x = 659,183.95/796.05
  6. Step 6: Final answer
    x = 828.07

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Why These Related Problems?

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