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Finding the Fourth Proportional to 1,092.88, 1,629.68 and 1,083.12

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Solution

The fourth proportional to 1,092.88, 1,629.68 and 1,083.12 is: 1,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.88 : 1,629.68 = 1,083.12 : x
  2. Step 2: Convert to fraction form
    1,092.88/1,629.68 = 1,083.12/x
  3. Step 3: Cross multiply
    1,092.88x = 1,629.68 × 1,083.12
  4. Step 4: Simplify right side
    1,092.88x = 1,765,139.00
  5. Step 5: Solve for x
    x = 1,765,139.00/1,092.88
  6. Step 6: Final answer
    x = 1,615.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.