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Finding the Fourth Proportional to 1,269.90, 1,757.25 and 1,083.09

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Solution

The fourth proportional to 1,269.90, 1,757.25 and 1,083.09 is: 1,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.90 : 1,757.25 = 1,083.09 : x
  2. Step 2: Convert to fraction form
    1,269.90/1,757.25 = 1,083.09/x
  3. Step 3: Cross multiply
    1,269.90x = 1,757.25 × 1,083.09
  4. Step 4: Simplify right side
    1,269.90x = 1,903,259.90
  5. Step 5: Solve for x
    x = 1,903,259.90/1,269.90
  6. Step 6: Final answer
    x = 1,498.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.