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Finding the Fourth Proportional to 773.64, 1,160.31 and 286.59

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Solution

The fourth proportional to 773.64, 1,160.31 and 286.59 is: 429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.64 : 1,160.31 = 286.59 : x
  2. Step 2: Convert to fraction form
    773.64/1,160.31 = 286.59/x
  3. Step 3: Cross multiply
    773.64x = 1,160.31 × 286.59
  4. Step 4: Simplify right side
    773.64x = 332,533.24
  5. Step 5: Solve for x
    x = 332,533.24/773.64
  6. Step 6: Final answer
    x = 429.83

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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.