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Finding the Fourth Proportional to 793.85, 1,188.72 and 441.65

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Solution

The fourth proportional to 793.85, 1,188.72 and 441.65 is: 661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.85 : 1,188.72 = 441.65 : x
  2. Step 2: Convert to fraction form
    793.85/1,188.72 = 441.65/x
  3. Step 3: Cross multiply
    793.85x = 1,188.72 × 441.65
  4. Step 4: Simplify right side
    793.85x = 524,990.04
  5. Step 5: Solve for x
    x = 524,990.04/793.85
  6. Step 6: Final answer
    x = 661.33

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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.