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Finding the Fourth Proportional to 824.86, 1,138.41 and 475.66

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Solution

The fourth proportional to 824.86, 1,138.41 and 475.66 is: 656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.86 : 1,138.41 = 475.66 : x
  2. Step 2: Convert to fraction form
    824.86/1,138.41 = 475.66/x
  3. Step 3: Cross multiply
    824.86x = 1,138.41 × 475.66
  4. Step 4: Simplify right side
    824.86x = 541,496.10
  5. Step 5: Solve for x
    x = 541,496.10/824.86
  6. Step 6: Final answer
    x = 656.47

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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.