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Finding the Fourth Proportional to 793.02, 1,093.74 and 739.97

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Solution

The fourth proportional to 793.02, 1,093.74 and 739.97 is: 1,020.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.02 : 1,093.74 = 739.97 : x
  2. Step 2: Convert to fraction form
    793.02/1,093.74 = 739.97/x
  3. Step 3: Cross multiply
    793.02x = 1,093.74 × 739.97
  4. Step 4: Simplify right side
    793.02x = 809,334.79
  5. Step 5: Solve for x
    x = 809,334.79/793.02
  6. Step 6: Final answer
    x = 1,020.57

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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.