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Finding the Fourth Proportional to 853.76, 1,178.78 and 559.44

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Solution

The fourth proportional to 853.76, 1,178.78 and 559.44 is: 772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.76 : 1,178.78 = 559.44 : x
  2. Step 2: Convert to fraction form
    853.76/1,178.78 = 559.44/x
  3. Step 3: Cross multiply
    853.76x = 1,178.78 × 559.44
  4. Step 4: Simplify right side
    853.76x = 659,456.68
  5. Step 5: Solve for x
    x = 659,456.68/853.76
  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.