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Finding the Fourth Proportional to 793.65, 1,190.46 and 306.42

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Solution

The fourth proportional to 793.65, 1,190.46 and 306.42 is: 459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.65 : 1,190.46 = 306.42 : x
  2. Step 2: Convert to fraction form
    793.65/1,190.46 = 306.42/x
  3. Step 3: Cross multiply
    793.65x = 1,190.46 × 306.42
  4. Step 4: Simplify right side
    793.65x = 364,780.75
  5. Step 5: Solve for x
    x = 364,780.75/793.65
  6. Step 6: Final answer
    x = 459.62

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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.