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Finding the Fourth Proportional to 600.89, 896.25 and 582.66

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Solution

The fourth proportional to 600.89, 896.25 and 582.66 is: 869.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.89 : 896.25 = 582.66 : x
  2. Step 2: Convert to fraction form
    600.89/896.25 = 582.66/x
  3. Step 3: Cross multiply
    600.89x = 896.25 × 582.66
  4. Step 4: Simplify right side
    600.89x = 522,211.21
  5. Step 5: Solve for x
    x = 522,211.21/600.89
  6. Step 6: Final answer
    x = 869.07

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