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Finding the Fourth Proportional to 838.32, 1,257.24 and 551.28

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Solution

The fourth proportional to 838.32, 1,257.24 and 551.28 is: 826.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.32 : 1,257.24 = 551.28 : x
  2. Step 2: Convert to fraction form
    838.32/1,257.24 = 551.28/x
  3. Step 3: Cross multiply
    838.32x = 1,257.24 × 551.28
  4. Step 4: Simplify right side
    838.32x = 693,091.27
  5. Step 5: Solve for x
    x = 693,091.27/838.32
  6. Step 6: Final answer
    x = 826.76

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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.