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Finding the Fourth Proportional to 796.32, 1,193.76 and 411.20

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Solution

The fourth proportional to 796.32, 1,193.76 and 411.20 is: 616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.32 : 1,193.76 = 411.20 : x
  2. Step 2: Convert to fraction form
    796.32/1,193.76 = 411.20/x
  3. Step 3: Cross multiply
    796.32x = 1,193.76 × 411.20
  4. Step 4: Simplify right side
    796.32x = 490,874.11
  5. Step 5: Solve for x
    x = 490,874.11/796.32
  6. Step 6: Final answer
    x = 616.43

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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.