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Finding the Fourth Proportional to 812.94, 1,120.69 and 579.66

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Solution

The fourth proportional to 812.94, 1,120.69 and 579.66 is: 799.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.94 : 1,120.69 = 579.66 : x
  2. Step 2: Convert to fraction form
    812.94/1,120.69 = 579.66/x
  3. Step 3: Cross multiply
    812.94x = 1,120.69 × 579.66
  4. Step 4: Simplify right side
    812.94x = 649,612.43
  5. Step 5: Solve for x
    x = 649,612.43/812.94
  6. Step 6: Final answer
    x = 799.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.