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Finding the Fourth Proportional to 1,334.42, 2,001.32 and 512.27

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Solution

The fourth proportional to 1,334.42, 2,001.32 and 512.27 is: 768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.42 : 2,001.32 = 512.27 : x
  2. Step 2: Convert to fraction form
    1,334.42/2,001.32 = 512.27/x
  3. Step 3: Cross multiply
    1,334.42x = 2,001.32 × 512.27
  4. Step 4: Simplify right side
    1,334.42x = 1,025,216.20
  5. Step 5: Solve for x
    x = 1,025,216.20/1,334.42
  6. Step 6: Final answer
    x = 768.29

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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.