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Finding the Fourth Proportional to 791.10, 1,090.46 and 633.22

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Solution

The fourth proportional to 791.10, 1,090.46 and 633.22 is: 872.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.10 : 1,090.46 = 633.22 : x
  2. Step 2: Convert to fraction form
    791.10/1,090.46 = 633.22/x
  3. Step 3: Cross multiply
    791.10x = 1,090.46 × 633.22
  4. Step 4: Simplify right side
    791.10x = 690,499.94
  5. Step 5: Solve for x
    x = 690,499.94/791.10
  6. Step 6: Final answer
    x = 872.84

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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.