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Finding the Fourth Proportional to 824.23, 1,233.49 and 477.04

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Solution

The fourth proportional to 824.23, 1,233.49 and 477.04 is: 713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.23 : 1,233.49 = 477.04 : x
  2. Step 2: Convert to fraction form
    824.23/1,233.49 = 477.04/x
  3. Step 3: Cross multiply
    824.23x = 1,233.49 × 477.04
  4. Step 4: Simplify right side
    824.23x = 588,423.67
  5. Step 5: Solve for x
    x = 588,423.67/824.23
  6. Step 6: Final answer
    x = 713.91

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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.