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Finding the Fourth Proportional to 794.38, 1,191.66 and 246.70

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Solution

The fourth proportional to 794.38, 1,191.66 and 246.70 is: 370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.38 : 1,191.66 = 246.70 : x
  2. Step 2: Convert to fraction form
    794.38/1,191.66 = 246.70/x
  3. Step 3: Cross multiply
    794.38x = 1,191.66 × 246.70
  4. Step 4: Simplify right side
    794.38x = 293,982.52
  5. Step 5: Solve for x
    x = 293,982.52/794.38
  6. Step 6: Final answer
    x = 370.08

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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.