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Finding the Fourth Proportional to 773.80, 1,160.43 and 225.84

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Solution

The fourth proportional to 773.80, 1,160.43 and 225.84 is: 338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.80 : 1,160.43 = 225.84 : x
  2. Step 2: Convert to fraction form
    773.80/1,160.43 = 225.84/x
  3. Step 3: Cross multiply
    773.80x = 1,160.43 × 225.84
  4. Step 4: Simplify right side
    773.80x = 262,071.51
  5. Step 5: Solve for x
    x = 262,071.51/773.80
  6. Step 6: Final answer
    x = 338.68

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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.