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Finding the Fourth Proportional to 512.94, 769.42 and 128.20

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Solution

The fourth proportional to 512.94, 769.42 and 128.20 is: 192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.94 : 769.42 = 128.20 : x
  2. Step 2: Convert to fraction form
    512.94/769.42 = 128.20/x
  3. Step 3: Cross multiply
    512.94x = 769.42 × 128.20
  4. Step 4: Simplify right side
    512.94x = 98,639.64
  5. Step 5: Solve for x
    x = 98,639.64/512.94
  6. Step 6: Final answer
    x = 192.30

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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.