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Finding the Fourth Proportional to 796.52, 1,194.30 and 411.56

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Solution

The fourth proportional to 796.52, 1,194.30 and 411.56 is: 617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.52 : 1,194.30 = 411.56 : x
  2. Step 2: Convert to fraction form
    796.52/1,194.30 = 411.56/x
  3. Step 3: Cross multiply
    796.52x = 1,194.30 × 411.56
  4. Step 4: Simplify right side
    796.52x = 491,526.11
  5. Step 5: Solve for x
    x = 491,526.11/796.52
  6. Step 6: Final answer
    x = 617.09

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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.