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Finding the Fourth Proportional to 1,334.19, 2,001.63 and 512.54

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Solution

The fourth proportional to 1,334.19, 2,001.63 and 512.54 is: 768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.19 : 2,001.63 = 512.54 : x
  2. Step 2: Convert to fraction form
    1,334.19/2,001.63 = 512.54/x
  3. Step 3: Cross multiply
    1,334.19x = 2,001.63 × 512.54
  4. Step 4: Simplify right side
    1,334.19x = 1,025,905.43
  5. Step 5: Solve for x
    x = 1,025,905.43/1,334.19
  6. Step 6: Final answer
    x = 768.94

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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.