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Finding the Fourth Proportional to 800.83, 1,105.26 and 579.70

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Solution

The fourth proportional to 800.83, 1,105.26 and 579.70 is: 800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.83 : 1,105.26 = 579.70 : x
  2. Step 2: Convert to fraction form
    800.83/1,105.26 = 579.70/x
  3. Step 3: Cross multiply
    800.83x = 1,105.26 × 579.70
  4. Step 4: Simplify right side
    800.83x = 640,713.70
  5. Step 5: Solve for x
    x = 640,713.70/800.83
  6. Step 6: Final answer
    x = 800.07

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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.