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Finding the Fourth Proportional to 773.64, 1,160.88 and 513

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Solution

The fourth proportional to 773.64, 1,160.88 and 513 is: 769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.64 : 1,160.88 = 513 : x
  2. Step 2: Convert to fraction form
    773.64/1,160.88 = 513/x
  3. Step 3: Cross multiply
    773.64x = 1,160.88 × 513
  4. Step 4: Simplify right side
    773.64x = 595,531.44
  5. Step 5: Solve for x
    x = 595,531.44/773.64
  6. Step 6: Final answer
    x = 769.78

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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.