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Finding the Fourth Proportional to 825.21, 1,138.68 and 475.83

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Solution

The fourth proportional to 825.21, 1,138.68 and 475.83 is: 656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.21 : 1,138.68 = 475.83 : x
  2. Step 2: Convert to fraction form
    825.21/1,138.68 = 475.83/x
  3. Step 3: Cross multiply
    825.21x = 1,138.68 × 475.83
  4. Step 4: Simplify right side
    825.21x = 541,818.10
  5. Step 5: Solve for x
    x = 541,818.10/825.21
  6. Step 6: Final answer
    x = 656.58

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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.