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Finding the Fourth Proportional to 825.09, 1,138.53 and 475.74

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Solution

The fourth proportional to 825.09, 1,138.53 and 475.74 is: 656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.09 : 1,138.53 = 475.74 : x
  2. Step 2: Convert to fraction form
    825.09/1,138.53 = 475.74/x
  3. Step 3: Cross multiply
    825.09x = 1,138.53 × 475.74
  4. Step 4: Simplify right side
    825.09x = 541,644.26
  5. Step 5: Solve for x
    x = 541,644.26/825.09
  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.