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Finding the Fourth Proportional to 824.31, 1,137.51 and 451.30

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Solution

The fourth proportional to 824.31, 1,137.51 and 451.30 is: 622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.31 : 1,137.51 = 451.30 : x
  2. Step 2: Convert to fraction form
    824.31/1,137.51 = 451.30/x
  3. Step 3: Cross multiply
    824.31x = 1,137.51 × 451.30
  4. Step 4: Simplify right side
    824.31x = 513,358.26
  5. Step 5: Solve for x
    x = 513,358.26/824.31
  6. Step 6: Final answer
    x = 622.77

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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.