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Finding the Fourth Proportional to 796.22, 1,194.97 and 549.27

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Solution

The fourth proportional to 796.22, 1,194.97 and 549.27 is: 824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.22 : 1,194.97 = 549.27 : x
  2. Step 2: Convert to fraction form
    796.22/1,194.97 = 549.27/x
  3. Step 3: Cross multiply
    796.22x = 1,194.97 × 549.27
  4. Step 4: Simplify right side
    796.22x = 656,361.17
  5. Step 5: Solve for x
    x = 656,361.17/796.22
  6. Step 6: Final answer
    x = 824.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.