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Finding the Fourth Proportional to 794.78, 1,192.14 and 246.95

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Solution

The fourth proportional to 794.78, 1,192.14 and 246.95 is: 370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.78 : 1,192.14 = 246.95 : x
  2. Step 2: Convert to fraction form
    794.78/1,192.14 = 246.95/x
  3. Step 3: Cross multiply
    794.78x = 1,192.14 × 246.95
  4. Step 4: Simplify right side
    794.78x = 294,398.97
  5. Step 5: Solve for x
    x = 294,398.97/794.78
  6. Step 6: Final answer
    x = 370.42

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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.