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Finding the Fourth Proportional to 824.97, 1,138.55 and 493.39

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Solution

The fourth proportional to 824.97, 1,138.55 and 493.39 is: 680.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.97 : 1,138.55 = 493.39 : x
  2. Step 2: Convert to fraction form
    824.97/1,138.55 = 493.39/x
  3. Step 3: Cross multiply
    824.97x = 1,138.55 × 493.39
  4. Step 4: Simplify right side
    824.97x = 561,749.18
  5. Step 5: Solve for x
    x = 561,749.18/824.97
  6. Step 6: Final answer
    x = 680.93

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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.