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Finding the Fourth Proportional to 513.48, 769.87 and 436.12

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Solution

The fourth proportional to 513.48, 769.87 and 436.12 is: 653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.48 : 769.87 = 436.12 : x
  2. Step 2: Convert to fraction form
    513.48/769.87 = 436.12/x
  3. Step 3: Cross multiply
    513.48x = 769.87 × 436.12
  4. Step 4: Simplify right side
    513.48x = 335,755.70
  5. Step 5: Solve for x
    x = 335,755.70/513.48
  6. Step 6: Final answer
    x = 653.88

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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.