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Finding the Fourth Proportional to 512.94, 769.41 and 128.19

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Solution

The fourth proportional to 512.94, 769.41 and 128.19 is: 192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.94 : 769.41 = 128.19 : x
  2. Step 2: Convert to fraction form
    512.94/769.41 = 128.19/x
  3. Step 3: Cross multiply
    512.94x = 769.41 × 128.19
  4. Step 4: Simplify right side
    512.94x = 98,630.03
  5. Step 5: Solve for x
    x = 98,630.03/512.94
  6. Step 6: Final answer
    x = 192.28

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Double scale
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Similar ratio
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1.5x scale

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.