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Finding the Fourth Proportional to 773.26, 1,159.51 and 362.59

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Solution

The fourth proportional to 773.26, 1,159.51 and 362.59 is: 543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.26 : 1,159.51 = 362.59 : x
  2. Step 2: Convert to fraction form
    773.26/1,159.51 = 362.59/x
  3. Step 3: Cross multiply
    773.26x = 1,159.51 × 362.59
  4. Step 4: Simplify right side
    773.26x = 420,426.73
  5. Step 5: Solve for x
    x = 420,426.73/773.26
  6. Step 6: Final answer
    x = 543.71

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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.