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Finding the Fourth Proportional to 793.28, 1,196.96 and 793.28

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Solution

The fourth proportional to 793.28, 1,196.96 and 793.28 is: 1,196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.28 : 1,196.96 = 793.28 : x
  2. Step 2: Convert to fraction form
    793.28/1,196.96 = 793.28/x
  3. Step 3: Cross multiply
    793.28x = 1,196.96 × 793.28
  4. Step 4: Simplify right side
    793.28x = 949,524.43
  5. Step 5: Solve for x
    x = 949,524.43/793.28
  6. Step 6: Final answer
    x = 1,196.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.