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Finding the Fourth Proportional to 796.13, 1,194.35 and 248.27

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Solution

The fourth proportional to 796.13, 1,194.35 and 248.27 is: 372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.13 : 1,194.35 = 248.27 : x
  2. Step 2: Convert to fraction form
    796.13/1,194.35 = 248.27/x
  3. Step 3: Cross multiply
    796.13x = 1,194.35 × 248.27
  4. Step 4: Simplify right side
    796.13x = 296,514.06
  5. Step 5: Solve for x
    x = 296,514.06/796.13
  6. Step 6: Final answer
    x = 372.44

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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.