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Finding the Fourth Proportional to 923.78, 1,383.24 and 512.30

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Solution

The fourth proportional to 923.78, 1,383.24 and 512.30 is: 767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.78 : 1,383.24 = 512.30 : x
  2. Step 2: Convert to fraction form
    923.78/1,383.24 = 512.30/x
  3. Step 3: Cross multiply
    923.78x = 1,383.24 × 512.30
  4. Step 4: Simplify right side
    923.78x = 708,633.85
  5. Step 5: Solve for x
    x = 708,633.85/923.78
  6. Step 6: Final answer
    x = 767.10

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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.