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Finding the Fourth Proportional to 796.48, 1,193.76 and 411.52

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Solution

The fourth proportional to 796.48, 1,193.76 and 411.52 is: 616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.48 : 1,193.76 = 411.52 : x
  2. Step 2: Convert to fraction form
    796.48/1,193.76 = 411.52/x
  3. Step 3: Cross multiply
    796.48x = 1,193.76 × 411.52
  4. Step 4: Simplify right side
    796.48x = 491,256.12
  5. Step 5: Solve for x
    x = 491,256.12/796.48
  6. Step 6: Final answer
    x = 616.78

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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.