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Finding the Fourth Proportional to 773.82, 1,159.06 and 513.94

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Solution

The fourth proportional to 773.82, 1,159.06 and 513.94 is: 769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.82 : 1,159.06 = 513.94 : x
  2. Step 2: Convert to fraction form
    773.82/1,159.06 = 513.94/x
  3. Step 3: Cross multiply
    773.82x = 1,159.06 × 513.94
  4. Step 4: Simplify right side
    773.82x = 595,687.30
  5. Step 5: Solve for x
    x = 595,687.30/773.82
  6. Step 6: Final answer
    x = 769.80

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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.