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Finding the Fourth Proportional to 757.32, 1,134.84 and 513

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Solution

The fourth proportional to 757.32, 1,134.84 and 513 is: 768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.32 : 1,134.84 = 513 : x
  2. Step 2: Convert to fraction form
    757.32/1,134.84 = 513/x
  3. Step 3: Cross multiply
    757.32x = 1,134.84 × 513
  4. Step 4: Simplify right side
    757.32x = 582,172.92
  5. Step 5: Solve for x
    x = 582,172.92/757.32
  6. Step 6: Final answer
    x = 768.73

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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.