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Finding the Fourth Proportional to 824.63, 1,138.03 and 475.43

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Solution

The fourth proportional to 824.63, 1,138.03 and 475.43 is: 656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.63 : 1,138.03 = 475.43 : x
  2. Step 2: Convert to fraction form
    824.63/1,138.03 = 475.43/x
  3. Step 3: Cross multiply
    824.63x = 1,138.03 × 475.43
  4. Step 4: Simplify right side
    824.63x = 541,046.72
  5. Step 5: Solve for x
    x = 541,046.72/824.63
  6. Step 6: Final answer
    x = 656.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.