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Finding the Fourth Proportional to 1,608.44, 2,412.66 and 582.44

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Solution

The fourth proportional to 1,608.44, 2,412.66 and 582.44 is: 873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.44 : 2,412.66 = 582.44 : x
  2. Step 2: Convert to fraction form
    1,608.44/2,412.66 = 582.44/x
  3. Step 3: Cross multiply
    1,608.44x = 2,412.66 × 582.44
  4. Step 4: Simplify right side
    1,608.44x = 1,405,229.69
  5. Step 5: Solve for x
    x = 1,405,229.69/1,608.44
  6. Step 6: Final answer
    x = 873.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.