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Finding the Fourth Proportional to 794.25, 1,096.70 and 629.33

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Solution

The fourth proportional to 794.25, 1,096.70 and 629.33 is: 868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.25 : 1,096.70 = 629.33 : x
  2. Step 2: Convert to fraction form
    794.25/1,096.70 = 629.33/x
  3. Step 3: Cross multiply
    794.25x = 1,096.70 × 629.33
  4. Step 4: Simplify right side
    794.25x = 690,177.58
  5. Step 5: Solve for x
    x = 690,177.58/794.25
  6. Step 6: Final answer
    x = 868.97

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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.