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Finding the Fourth Proportional to 796.38, 1,193.13 and 410.46

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Solution

The fourth proportional to 796.38, 1,193.13 and 410.46 is: 614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.38 : 1,193.13 = 410.46 : x
  2. Step 2: Convert to fraction form
    796.38/1,193.13 = 410.46/x
  3. Step 3: Cross multiply
    796.38x = 1,193.13 × 410.46
  4. Step 4: Simplify right side
    796.38x = 489,732.14
  5. Step 5: Solve for x
    x = 489,732.14/796.38
  6. Step 6: Final answer
    x = 614.95

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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.