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Finding the Fourth Proportional to 1,083.92, 1,625.20 and 353.39

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Solution

The fourth proportional to 1,083.92, 1,625.20 and 353.39 is: 529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.92 : 1,625.20 = 353.39 : x
  2. Step 2: Convert to fraction form
    1,083.92/1,625.20 = 353.39/x
  3. Step 3: Cross multiply
    1,083.92x = 1,625.20 × 353.39
  4. Step 4: Simplify right side
    1,083.92x = 574,320.42
  5. Step 5: Solve for x
    x = 574,320.42/1,083.92
  6. Step 6: Final answer
    x = 529.86

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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.