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Finding the Fourth Proportional to 794.26, 1,191.19 and 246.45

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Solution

The fourth proportional to 794.26, 1,191.19 and 246.45 is: 369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.26 : 1,191.19 = 246.45 : x
  2. Step 2: Convert to fraction form
    794.26/1,191.19 = 246.45/x
  3. Step 3: Cross multiply
    794.26x = 1,191.19 × 246.45
  4. Step 4: Simplify right side
    794.26x = 293,568.78
  5. Step 5: Solve for x
    x = 293,568.78/794.26
  6. Step 6: Final answer
    x = 369.61

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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.