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Finding the Fourth Proportional to 1,376.33, 2,060.84 and 725.09

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Solution

The fourth proportional to 1,376.33, 2,060.84 and 725.09 is: 1,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.33 : 2,060.84 = 725.09 : x
  2. Step 2: Convert to fraction form
    1,376.33/2,060.84 = 725.09/x
  3. Step 3: Cross multiply
    1,376.33x = 2,060.84 × 725.09
  4. Step 4: Simplify right side
    1,376.33x = 1,494,285.98
  5. Step 5: Solve for x
    x = 1,494,285.98/1,376.33
  6. Step 6: Final answer
    x = 1,085.71

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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.