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Finding the Fourth Proportional to 1,608.25, 2,412.09 and 512.37

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Solution

The fourth proportional to 1,608.25, 2,412.09 and 512.37 is: 768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.25 : 2,412.09 = 512.37 : x
  2. Step 2: Convert to fraction form
    1,608.25/2,412.09 = 512.37/x
  3. Step 3: Cross multiply
    1,608.25x = 2,412.09 × 512.37
  4. Step 4: Simplify right side
    1,608.25x = 1,235,867.93
  5. Step 5: Solve for x
    x = 1,235,867.93/1,608.25
  6. Step 6: Final answer
    x = 768.46

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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.