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Finding the Fourth Proportional to 796.08, 1,099.86 and 599.22

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Solution

The fourth proportional to 796.08, 1,099.86 and 599.22 is: 827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.08 : 1,099.86 = 599.22 : x
  2. Step 2: Convert to fraction form
    796.08/1,099.86 = 599.22/x
  3. Step 3: Cross multiply
    796.08x = 1,099.86 × 599.22
  4. Step 4: Simplify right side
    796.08x = 659,058.11
  5. Step 5: Solve for x
    x = 659,058.11/796.08
  6. Step 6: Final answer
    x = 827.88

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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.