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Finding the Fourth Proportional to 824.86, 1,138.27 and 493.47

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Solution

The fourth proportional to 824.86, 1,138.27 and 493.47 is: 680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.86 : 1,138.27 = 493.47 : x
  2. Step 2: Convert to fraction form
    824.86/1,138.27 = 493.47/x
  3. Step 3: Cross multiply
    824.86x = 1,138.27 × 493.47
  4. Step 4: Simplify right side
    824.86x = 561,702.71
  5. Step 5: Solve for x
    x = 561,702.71/824.86
  6. Step 6: Final answer
    x = 680.97

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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.