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Finding the Fourth Proportional to 793.30, 1,189.14 and 306.70

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Solution

The fourth proportional to 793.30, 1,189.14 and 306.70 is: 459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.30 : 1,189.14 = 306.70 : x
  2. Step 2: Convert to fraction form
    793.30/1,189.14 = 306.70/x
  3. Step 3: Cross multiply
    793.30x = 1,189.14 × 306.70
  4. Step 4: Simplify right side
    793.30x = 364,709.24
  5. Step 5: Solve for x
    x = 364,709.24/793.30
  6. Step 6: Final answer
    x = 459.74

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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.