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Finding the Fourth Proportional to 773.78, 1,160.68 and 286.56

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Solution

The fourth proportional to 773.78, 1,160.68 and 286.56 is: 429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.78 : 1,160.68 = 286.56 : x
  2. Step 2: Convert to fraction form
    773.78/1,160.68 = 286.56/x
  3. Step 3: Cross multiply
    773.78x = 1,160.68 × 286.56
  4. Step 4: Simplify right side
    773.78x = 332,604.46
  5. Step 5: Solve for x
    x = 332,604.46/773.78
  6. Step 6: Final answer
    x = 429.84

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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.