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Finding the Fourth Proportional to 923.92, 1,384.26 and 823.48

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Solution

The fourth proportional to 923.92, 1,384.26 and 823.48 is: 1,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.92 : 1,384.26 = 823.48 : x
  2. Step 2: Convert to fraction form
    923.92/1,384.26 = 823.48/x
  3. Step 3: Cross multiply
    923.92x = 1,384.26 × 823.48
  4. Step 4: Simplify right side
    923.92x = 1,139,910.42
  5. Step 5: Solve for x
    x = 1,139,910.42/923.92
  6. Step 6: Final answer
    x = 1,233.78

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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.