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Finding the Fourth Proportional to 1,608.17, 2,411.87 and 512.37

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Solution

The fourth proportional to 1,608.17, 2,411.87 and 512.37 is: 768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.17 : 2,411.87 = 512.37 : x
  2. Step 2: Convert to fraction form
    1,608.17/2,411.87 = 512.37/x
  3. Step 3: Cross multiply
    1,608.17x = 2,411.87 × 512.37
  4. Step 4: Simplify right side
    1,608.17x = 1,235,767.27
  5. Step 5: Solve for x
    x = 1,235,767.27/1,608.17
  6. Step 6: Final answer
    x = 768.43

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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.