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Finding the Fourth Proportional to 793.10, 1,189.70 and 306.15

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Solution

The fourth proportional to 793.10, 1,189.70 and 306.15 is: 459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.10 : 1,189.70 = 306.15 : x
  2. Step 2: Convert to fraction form
    793.10/1,189.70 = 306.15/x
  3. Step 3: Cross multiply
    793.10x = 1,189.70 × 306.15
  4. Step 4: Simplify right side
    793.10x = 364,226.66
  5. Step 5: Solve for x
    x = 364,226.66/793.10
  6. Step 6: Final answer
    x = 459.24

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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.