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Finding the Fourth Proportional to 794.23, 1,191.45 and 246.45

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Solution

The fourth proportional to 794.23, 1,191.45 and 246.45 is: 369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.23 : 1,191.45 = 246.45 : x
  2. Step 2: Convert to fraction form
    794.23/1,191.45 = 246.45/x
  3. Step 3: Cross multiply
    794.23x = 1,191.45 × 246.45
  4. Step 4: Simplify right side
    794.23x = 293,634.96
  5. Step 5: Solve for x
    x = 293,634.96/794.23
  6. Step 6: Final answer
    x = 369.71

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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.