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Finding the Fourth Proportional to 793.38, 1,184.75 and 684.03

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Solution

The fourth proportional to 793.38, 1,184.75 and 684.03 is: 1,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.38 : 1,184.75 = 684.03 : x
  2. Step 2: Convert to fraction form
    793.38/1,184.75 = 684.03/x
  3. Step 3: Cross multiply
    793.38x = 1,184.75 × 684.03
  4. Step 4: Simplify right side
    793.38x = 810,404.54
  5. Step 5: Solve for x
    x = 810,404.54/793.38
  6. Step 6: Final answer
    x = 1,021.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.