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Finding the Fourth Proportional to 773.64, 1,160.10 and 286.56

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Solution

The fourth proportional to 773.64, 1,160.10 and 286.56 is: 429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.64 : 1,160.10 = 286.56 : x
  2. Step 2: Convert to fraction form
    773.64/1,160.10 = 286.56/x
  3. Step 3: Cross multiply
    773.64x = 1,160.10 × 286.56
  4. Step 4: Simplify right side
    773.64x = 332,438.26
  5. Step 5: Solve for x
    x = 332,438.26/773.64
  6. Step 6: Final answer
    x = 429.71

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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.