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Finding the Fourth Proportional to 796.44, 1,193.54 and 633.40

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Solution

The fourth proportional to 796.44, 1,193.54 and 633.40 is: 949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.44 : 1,193.54 = 633.40 : x
  2. Step 2: Convert to fraction form
    796.44/1,193.54 = 633.40/x
  3. Step 3: Cross multiply
    796.44x = 1,193.54 × 633.40
  4. Step 4: Simplify right side
    796.44x = 755,988.24
  5. Step 5: Solve for x
    x = 755,988.24/796.44
  6. Step 6: Final answer
    x = 949.21

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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.