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Finding the Fourth Proportional to 793.05, 1,189.73 and 306.10

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Solution

The fourth proportional to 793.05, 1,189.73 and 306.10 is: 459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.05 : 1,189.73 = 306.10 : x
  2. Step 2: Convert to fraction form
    793.05/1,189.73 = 306.10/x
  3. Step 3: Cross multiply
    793.05x = 1,189.73 × 306.10
  4. Step 4: Simplify right side
    793.05x = 364,176.35
  5. Step 5: Solve for x
    x = 364,176.35/793.05
  6. Step 6: Final answer
    x = 459.21

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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.