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Finding the Fourth Proportional to 773.69, 1,160.66 and 225.80

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Solution

The fourth proportional to 773.69, 1,160.66 and 225.80 is: 338.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.69 : 1,160.66 = 225.80 : x
  2. Step 2: Convert to fraction form
    773.69/1,160.66 = 225.80/x
  3. Step 3: Cross multiply
    773.69x = 1,160.66 × 225.80
  4. Step 4: Simplify right side
    773.69x = 262,070.10
  5. Step 5: Solve for x
    x = 262,070.10/773.69
  6. Step 6: Final answer
    x = 338.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.