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Finding the Fourth Proportional to 773.24, 1,159.94 and 513.22

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Solution

The fourth proportional to 773.24, 1,159.94 and 513.22 is: 769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.24 : 1,159.94 = 513.22 : x
  2. Step 2: Convert to fraction form
    773.24/1,159.94 = 513.22/x
  3. Step 3: Cross multiply
    773.24x = 1,159.94 × 513.22
  4. Step 4: Simplify right side
    773.24x = 595,304.41
  5. Step 5: Solve for x
    x = 595,304.41/773.24
  6. Step 6: Final answer
    x = 769.88

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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.