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Finding the Fourth Proportional to 793.66, 1,190.25 and 306.59

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Solution

The fourth proportional to 793.66, 1,190.25 and 306.59 is: 459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.66 : 1,190.25 = 306.59 : x
  2. Step 2: Convert to fraction form
    793.66/1,190.25 = 306.59/x
  3. Step 3: Cross multiply
    793.66x = 1,190.25 × 306.59
  4. Step 4: Simplify right side
    793.66x = 364,921.72
  5. Step 5: Solve for x
    x = 364,921.72/793.66
  6. Step 6: Final answer
    x = 459.80

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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.