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Finding the Fourth Proportional to 793.17, 1,189.77 and 306.24

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Solution

The fourth proportional to 793.17, 1,189.77 and 306.24 is: 459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.17 : 1,189.77 = 306.24 : x
  2. Step 2: Convert to fraction form
    793.17/1,189.77 = 306.24/x
  3. Step 3: Cross multiply
    793.17x = 1,189.77 × 306.24
  4. Step 4: Simplify right side
    793.17x = 364,355.16
  5. Step 5: Solve for x
    x = 364,355.16/793.17
  6. Step 6: Final answer
    x = 459.37

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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.