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Finding the Fourth Proportional to 793.87, 1,191.14 and 446.78

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Solution

The fourth proportional to 793.87, 1,191.14 and 446.78 is: 670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.87 : 1,191.14 = 446.78 : x
  2. Step 2: Convert to fraction form
    793.87/1,191.14 = 446.78/x
  3. Step 3: Cross multiply
    793.87x = 1,191.14 × 446.78
  4. Step 4: Simplify right side
    793.87x = 532,177.53
  5. Step 5: Solve for x
    x = 532,177.53/793.87
  6. Step 6: Final answer
    x = 670.36

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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.