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Finding the Fourth Proportional to 793.07, 1,189.62 and 215.93

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Solution

The fourth proportional to 793.07, 1,189.62 and 215.93 is: 323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.07 : 1,189.62 = 215.93 : x
  2. Step 2: Convert to fraction form
    793.07/1,189.62 = 215.93/x
  3. Step 3: Cross multiply
    793.07x = 1,189.62 × 215.93
  4. Step 4: Simplify right side
    793.07x = 256,874.65
  5. Step 5: Solve for x
    x = 256,874.65/793.07
  6. Step 6: Final answer
    x = 323.90

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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.