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Finding the Fourth Proportional to 1,355.28, 2,032.92 and 489.54

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Solution

The fourth proportional to 1,355.28, 2,032.92 and 489.54 is: 734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.28 : 2,032.92 = 489.54 : x
  2. Step 2: Convert to fraction form
    1,355.28/2,032.92 = 489.54/x
  3. Step 3: Cross multiply
    1,355.28x = 2,032.92 × 489.54
  4. Step 4: Simplify right side
    1,355.28x = 995,195.66
  5. Step 5: Solve for x
    x = 995,195.66/1,355.28
  6. Step 6: Final answer
    x = 734.31

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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.