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Finding the Fourth Proportional to 1,083.27, 1,625.75 and 735.75

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Solution

The fourth proportional to 1,083.27, 1,625.75 and 735.75 is: 1,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.27 : 1,625.75 = 735.75 : x
  2. Step 2: Convert to fraction form
    1,083.27/1,625.75 = 735.75/x
  3. Step 3: Cross multiply
    1,083.27x = 1,625.75 × 735.75
  4. Step 4: Simplify right side
    1,083.27x = 1,196,141.88
  5. Step 5: Solve for x
    x = 1,196,141.88/1,083.27
  6. Step 6: Final answer
    x = 1,104.20

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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.