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Finding the Fourth Proportional to 1,083.31, 1,622.67 and 498.79

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Solution

The fourth proportional to 1,083.31, 1,622.67 and 498.79 is: 747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.31 : 1,622.67 = 498.79 : x
  2. Step 2: Convert to fraction form
    1,083.31/1,622.67 = 498.79/x
  3. Step 3: Cross multiply
    1,083.31x = 1,622.67 × 498.79
  4. Step 4: Simplify right side
    1,083.31x = 809,371.73
  5. Step 5: Solve for x
    x = 809,371.73/1,083.31
  6. Step 6: Final answer
    x = 747.13

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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.