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Finding the Fourth Proportional to 792.27, 1,186.97 and 380.83

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Solution

The fourth proportional to 792.27, 1,186.97 and 380.83 is: 570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.27 : 1,186.97 = 380.83 : x
  2. Step 2: Convert to fraction form
    792.27/1,186.97 = 380.83/x
  3. Step 3: Cross multiply
    792.27x = 1,186.97 × 380.83
  4. Step 4: Simplify right side
    792.27x = 452,027.85
  5. Step 5: Solve for x
    x = 452,027.85/792.27
  6. Step 6: Final answer
    x = 570.55

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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.