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Finding the Fourth Proportional to 824.91, 1,237.02 and 414.28

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Solution

The fourth proportional to 824.91, 1,237.02 and 414.28 is: 621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.91 : 1,237.02 = 414.28 : x
  2. Step 2: Convert to fraction form
    824.91/1,237.02 = 414.28/x
  3. Step 3: Cross multiply
    824.91x = 1,237.02 × 414.28
  4. Step 4: Simplify right side
    824.91x = 512,469.75
  5. Step 5: Solve for x
    x = 512,469.75/824.91
  6. Step 6: Final answer
    x = 621.24

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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.