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Finding the Fourth Proportional to 1,334.34, 2,001.23 and 512.33

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Solution

The fourth proportional to 1,334.34, 2,001.23 and 512.33 is: 768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.34 : 2,001.23 = 512.33 : x
  2. Step 2: Convert to fraction form
    1,334.34/2,001.23 = 512.33/x
  3. Step 3: Cross multiply
    1,334.34x = 2,001.23 × 512.33
  4. Step 4: Simplify right side
    1,334.34x = 1,025,277.60
  5. Step 5: Solve for x
    x = 1,025,277.60/1,334.34
  6. Step 6: Final answer
    x = 768.38

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