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Finding the Fourth Proportional to 853.96, 1,179.76 and 559.92

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Solution

The fourth proportional to 853.96, 1,179.76 and 559.92 is: 773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.96 : 1,179.76 = 559.92 : x
  2. Step 2: Convert to fraction form
    853.96/1,179.76 = 559.92/x
  3. Step 3: Cross multiply
    853.96x = 1,179.76 × 559.92
  4. Step 4: Simplify right side
    853.96x = 660,571.22
  5. Step 5: Solve for x
    x = 660,571.22/853.96
  6. Step 6: Final answer
    x = 773.54

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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.