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Finding the Fourth Proportional to 773.84, 1,160.83 and 253.84

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Solution

The fourth proportional to 773.84, 1,160.83 and 253.84 is: 380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.84 : 1,160.83 = 253.84 : x
  2. Step 2: Convert to fraction form
    773.84/1,160.83 = 253.84/x
  3. Step 3: Cross multiply
    773.84x = 1,160.83 × 253.84
  4. Step 4: Simplify right side
    773.84x = 294,665.09
  5. Step 5: Solve for x
    x = 294,665.09/773.84
  6. Step 6: Final answer
    x = 380.78

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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.