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Finding the Fourth Proportional to 824.49, 1,237.34 and 664.11

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Solution

The fourth proportional to 824.49, 1,237.34 and 664.11 is: 996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.49 : 1,237.34 = 664.11 : x
  2. Step 2: Convert to fraction form
    824.49/1,237.34 = 664.11/x
  3. Step 3: Cross multiply
    824.49x = 1,237.34 × 664.11
  4. Step 4: Simplify right side
    824.49x = 821,726.55
  5. Step 5: Solve for x
    x = 821,726.55/824.49
  6. Step 6: Final answer
    x = 996.65

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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.