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Finding the Fourth Proportional to 1,334.98, 2,001.99 and 758.98

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Solution

The fourth proportional to 1,334.98, 2,001.99 and 758.98 is: 1,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.98 : 2,001.99 = 758.98 : x
  2. Step 2: Convert to fraction form
    1,334.98/2,001.99 = 758.98/x
  3. Step 3: Cross multiply
    1,334.98x = 2,001.99 × 758.98
  4. Step 4: Simplify right side
    1,334.98x = 1,519,470.37
  5. Step 5: Solve for x
    x = 1,519,470.37/1,334.98
  6. Step 6: Final answer
    x = 1,138.20

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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.