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Finding the Fourth Proportional to 513.31, 769.97 and 128.56

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Solution

The fourth proportional to 513.31, 769.97 and 128.56 is: 192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.31 : 769.97 = 128.56 : x
  2. Step 2: Convert to fraction form
    513.31/769.97 = 128.56/x
  3. Step 3: Cross multiply
    513.31x = 769.97 × 128.56
  4. Step 4: Simplify right side
    513.31x = 98,987.34
  5. Step 5: Solve for x
    x = 98,987.34/513.31
  6. Step 6: Final answer
    x = 192.84

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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.