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Finding the Fourth Proportional to 923.08, 1,383.85 and 512.23

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Solution

The fourth proportional to 923.08, 1,383.85 and 512.23 is: 767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.08 : 1,383.85 = 512.23 : x
  2. Step 2: Convert to fraction form
    923.08/1,383.85 = 512.23/x
  3. Step 3: Cross multiply
    923.08x = 1,383.85 × 512.23
  4. Step 4: Simplify right side
    923.08x = 708,849.49
  5. Step 5: Solve for x
    x = 708,849.49/923.08
  6. Step 6: Final answer
    x = 767.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.