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Finding the Fourth Proportional to 604.92, 828.72 and 582.43

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Solution

The fourth proportional to 604.92, 828.72 and 582.43 is: 797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.92 : 828.72 = 582.43 : x
  2. Step 2: Convert to fraction form
    604.92/828.72 = 582.43/x
  3. Step 3: Cross multiply
    604.92x = 828.72 × 582.43
  4. Step 4: Simplify right side
    604.92x = 482,671.39
  5. Step 5: Solve for x
    x = 482,671.39/604.92
  6. Step 6: Final answer
    x = 797.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.