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Finding the Fourth Proportional to 773.43, 1,160.31 and 286.49

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Solution

The fourth proportional to 773.43, 1,160.31 and 286.49 is: 429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.43 : 1,160.31 = 286.49 : x
  2. Step 2: Convert to fraction form
    773.43/1,160.31 = 286.49/x
  3. Step 3: Cross multiply
    773.43x = 1,160.31 × 286.49
  4. Step 4: Simplify right side
    773.43x = 332,411.41
  5. Step 5: Solve for x
    x = 332,411.41/773.43
  6. Step 6: Final answer
    x = 429.79

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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.