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Finding the Fourth Proportional to 773.22, 1,159.83 and 362.55

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Solution

The fourth proportional to 773.22, 1,159.83 and 362.55 is: 543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.22 : 1,159.83 = 362.55 : x
  2. Step 2: Convert to fraction form
    773.22/1,159.83 = 362.55/x
  3. Step 3: Cross multiply
    773.22x = 1,159.83 × 362.55
  4. Step 4: Simplify right side
    773.22x = 420,496.37
  5. Step 5: Solve for x
    x = 420,496.37/773.22
  6. Step 6: Final answer
    x = 543.83

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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.