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Finding the Fourth Proportional to 793.68, 1,189.88 and 331.81

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Solution

The fourth proportional to 793.68, 1,189.88 and 331.81 is: 497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.68 : 1,189.88 = 331.81 : x
  2. Step 2: Convert to fraction form
    793.68/1,189.88 = 331.81/x
  3. Step 3: Cross multiply
    793.68x = 1,189.88 × 331.81
  4. Step 4: Simplify right side
    793.68x = 394,808.13
  5. Step 5: Solve for x
    x = 394,808.13/793.68
  6. Step 6: Final answer
    x = 497.44

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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.