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Finding the Fourth Proportional to 1,376.88, 2,062.08 and 727.80

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Solution

The fourth proportional to 1,376.88, 2,062.08 and 727.80 is: 1,089.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.88 : 2,062.08 = 727.80 : x
  2. Step 2: Convert to fraction form
    1,376.88/2,062.08 = 727.80/x
  3. Step 3: Cross multiply
    1,376.88x = 2,062.08 × 727.80
  4. Step 4: Simplify right side
    1,376.88x = 1,500,781.82
  5. Step 5: Solve for x
    x = 1,500,781.82/1,376.88
  6. Step 6: Final answer
    x = 1,089.99

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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.