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Finding the Fourth Proportional to 796.06, 1,194.08 and 248.24

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Solution

The fourth proportional to 796.06, 1,194.08 and 248.24 is: 372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.06 : 1,194.08 = 248.24 : x
  2. Step 2: Convert to fraction form
    796.06/1,194.08 = 248.24/x
  3. Step 3: Cross multiply
    796.06x = 1,194.08 × 248.24
  4. Step 4: Simplify right side
    796.06x = 296,414.81
  5. Step 5: Solve for x
    x = 296,414.81/796.06
  6. Step 6: Final answer
    x = 372.35

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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.