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Finding the Fourth Proportional to 824.61, 1,137.97 and 451.62

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Solution

The fourth proportional to 824.61, 1,137.97 and 451.62 is: 623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.61 : 1,137.97 = 451.62 : x
  2. Step 2: Convert to fraction form
    824.61/1,137.97 = 451.62/x
  3. Step 3: Cross multiply
    824.61x = 1,137.97 × 451.62
  4. Step 4: Simplify right side
    824.61x = 513,922.06
  5. Step 5: Solve for x
    x = 513,922.06/824.61
  6. Step 6: Final answer
    x = 623.23

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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.