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Finding the Fourth Proportional to 600.82, 896.17 and 582.60

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Solution

The fourth proportional to 600.82, 896.17 and 582.60 is: 868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.82 : 896.17 = 582.60 : x
  2. Step 2: Convert to fraction form
    600.82/896.17 = 582.60/x
  3. Step 3: Cross multiply
    600.82x = 896.17 × 582.60
  4. Step 4: Simplify right side
    600.82x = 522,108.64
  5. Step 5: Solve for x
    x = 522,108.64/600.82
  6. Step 6: Final answer
    x = 868.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.