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Finding the Fourth Proportional to 874.81, 1,206.34 and 579.97

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Solution

The fourth proportional to 874.81, 1,206.34 and 579.97 is: 799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.81 : 1,206.34 = 579.97 : x
  2. Step 2: Convert to fraction form
    874.81/1,206.34 = 579.97/x
  3. Step 3: Cross multiply
    874.81x = 1,206.34 × 579.97
  4. Step 4: Simplify right side
    874.81x = 699,641.01
  5. Step 5: Solve for x
    x = 699,641.01/874.81
  6. Step 6: Final answer
    x = 799.76

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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.