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Finding the Fourth Proportional to 796.21, 1,096.27 and 723.31

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Solution

The fourth proportional to 796.21, 1,096.27 and 723.31 is: 995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.21 : 1,096.27 = 723.31 : x
  2. Step 2: Convert to fraction form
    796.21/1,096.27 = 723.31/x
  3. Step 3: Cross multiply
    796.21x = 1,096.27 × 723.31
  4. Step 4: Simplify right side
    796.21x = 792,943.05
  5. Step 5: Solve for x
    x = 792,943.05/796.21
  6. Step 6: Final answer
    x = 995.90

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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.