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Finding the Fourth Proportional to 931.62, 1,286.38 and 582.42

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Solution

The fourth proportional to 931.62, 1,286.38 and 582.42 is: 804.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.62 : 1,286.38 = 582.42 : x
  2. Step 2: Convert to fraction form
    931.62/1,286.38 = 582.42/x
  3. Step 3: Cross multiply
    931.62x = 1,286.38 × 582.42
  4. Step 4: Simplify right side
    931.62x = 749,213.44
  5. Step 5: Solve for x
    x = 749,213.44/931.62
  6. Step 6: Final answer
    x = 804.20

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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.