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Finding the Fourth Proportional to 824.91, 1,138.57 and 493.54

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Solution

The fourth proportional to 824.91, 1,138.57 and 493.54 is: 681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.91 : 1,138.57 = 493.54 : x
  2. Step 2: Convert to fraction form
    824.91/1,138.57 = 493.54/x
  3. Step 3: Cross multiply
    824.91x = 1,138.57 × 493.54
  4. Step 4: Simplify right side
    824.91x = 561,929.84
  5. Step 5: Solve for x
    x = 561,929.84/824.91
  6. Step 6: Final answer
    x = 681.20

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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.