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Finding the Fourth Proportional to 874.24, 1,206.31 and 559.78

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Solution

The fourth proportional to 874.24, 1,206.31 and 559.78 is: 772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.24 : 1,206.31 = 559.78 : x
  2. Step 2: Convert to fraction form
    874.24/1,206.31 = 559.78/x
  3. Step 3: Cross multiply
    874.24x = 1,206.31 × 559.78
  4. Step 4: Simplify right side
    874.24x = 675,265.41
  5. Step 5: Solve for x
    x = 675,265.41/874.24
  6. Step 6: Final answer
    x = 772.41

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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.