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Finding the Fourth Proportional to 513.12, 765.12 and 506.74

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Solution

The fourth proportional to 513.12, 765.12 and 506.74 is: 755.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.12 : 765.12 = 506.74 : x
  2. Step 2: Convert to fraction form
    513.12/765.12 = 506.74/x
  3. Step 3: Cross multiply
    513.12x = 765.12 × 506.74
  4. Step 4: Simplify right side
    513.12x = 387,716.91
  5. Step 5: Solve for x
    x = 387,716.91/513.12
  6. Step 6: Final answer
    x = 755.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.