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Finding the Fourth Proportional to 824.35, 1,137.57 and 451.33

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Solution

The fourth proportional to 824.35, 1,137.57 and 451.33 is: 622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.35 : 1,137.57 = 451.33 : x
  2. Step 2: Convert to fraction form
    824.35/1,137.57 = 451.33/x
  3. Step 3: Cross multiply
    824.35x = 1,137.57 × 451.33
  4. Step 4: Simplify right side
    824.35x = 513,419.47
  5. Step 5: Solve for x
    x = 513,419.47/824.35
  6. Step 6: Final answer
    x = 622.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.