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Finding the Fourth Proportional to 1,083.73, 1,625.21 and 353.11

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Solution

The fourth proportional to 1,083.73, 1,625.21 and 353.11 is: 529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.73 : 1,625.21 = 353.11 : x
  2. Step 2: Convert to fraction form
    1,083.73/1,625.21 = 353.11/x
  3. Step 3: Cross multiply
    1,083.73x = 1,625.21 × 353.11
  4. Step 4: Simplify right side
    1,083.73x = 573,876.14
  5. Step 5: Solve for x
    x = 573,876.14/1,083.73
  6. Step 6: Final answer
    x = 529.54

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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.