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Finding the Fourth Proportional to 796.29, 1,194.78 and 411.81

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Solution

The fourth proportional to 796.29, 1,194.78 and 411.81 is: 617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.29 : 1,194.78 = 411.81 : x
  2. Step 2: Convert to fraction form
    796.29/1,194.78 = 411.81/x
  3. Step 3: Cross multiply
    796.29x = 1,194.78 × 411.81
  4. Step 4: Simplify right side
    796.29x = 492,022.35
  5. Step 5: Solve for x
    x = 492,022.35/796.29
  6. Step 6: Final answer
    x = 617.89

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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.