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Finding the Fourth Proportional to 923.44, 1,383.96 and 512.56

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Solution

The fourth proportional to 923.44, 1,383.96 and 512.56 is: 768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.44 : 1,383.96 = 512.56 : x
  2. Step 2: Convert to fraction form
    923.44/1,383.96 = 512.56/x
  3. Step 3: Cross multiply
    923.44x = 1,383.96 × 512.56
  4. Step 4: Simplify right side
    923.44x = 709,362.54
  5. Step 5: Solve for x
    x = 709,362.54/923.44
  6. Step 6: Final answer
    x = 768.17

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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.