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Finding the Fourth Proportional to 793.05, 1,095.92 and 596.22

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Solution

The fourth proportional to 793.05, 1,095.92 and 596.22 is: 823.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.05 : 1,095.92 = 596.22 : x
  2. Step 2: Convert to fraction form
    793.05/1,095.92 = 596.22/x
  3. Step 3: Cross multiply
    793.05x = 1,095.92 × 596.22
  4. Step 4: Simplify right side
    793.05x = 653,406.44
  5. Step 5: Solve for x
    x = 653,406.44/793.05
  6. Step 6: Final answer
    x = 823.92

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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.