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Finding the Fourth Proportional to 600.76, 896.07 and 582.54

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Solution

The fourth proportional to 600.76, 896.07 and 582.54 is: 868.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.76 : 896.07 = 582.54 : x
  2. Step 2: Convert to fraction form
    600.76/896.07 = 582.54/x
  3. Step 3: Cross multiply
    600.76x = 896.07 × 582.54
  4. Step 4: Simplify right side
    600.76x = 521,996.62
  5. Step 5: Solve for x
    x = 521,996.62/600.76
  6. Step 6: Final answer
    x = 868.89

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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.