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Finding the Fourth Proportional to 793.53, 1,190.74 and 428.31

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Solution

The fourth proportional to 793.53, 1,190.74 and 428.31 is: 642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.53 : 1,190.74 = 428.31 : x
  2. Step 2: Convert to fraction form
    793.53/1,190.74 = 428.31/x
  3. Step 3: Cross multiply
    793.53x = 1,190.74 × 428.31
  4. Step 4: Simplify right side
    793.53x = 510,005.85
  5. Step 5: Solve for x
    x = 510,005.85/793.53
  6. Step 6: Final answer
    x = 642.71

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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.