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Finding the Fourth Proportional to 1,083.97, 1,622.24 and 753.36

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Solution

The fourth proportional to 1,083.97, 1,622.24 and 753.36 is: 1,127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.97 : 1,622.24 = 753.36 : x
  2. Step 2: Convert to fraction form
    1,083.97/1,622.24 = 753.36/x
  3. Step 3: Cross multiply
    1,083.97x = 1,622.24 × 753.36
  4. Step 4: Simplify right side
    1,083.97x = 1,222,130.73
  5. Step 5: Solve for x
    x = 1,222,130.73/1,083.97
  6. Step 6: Final answer
    x = 1,127.46

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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.