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Finding the Fourth Proportional to 1,147.38, 1,721.48 and 489.44

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Solution

The fourth proportional to 1,147.38, 1,721.48 and 489.44 is: 734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.38 : 1,721.48 = 489.44 : x
  2. Step 2: Convert to fraction form
    1,147.38/1,721.48 = 489.44/x
  3. Step 3: Cross multiply
    1,147.38x = 1,721.48 × 489.44
  4. Step 4: Simplify right side
    1,147.38x = 842,550.12
  5. Step 5: Solve for x
    x = 842,550.12/1,147.38
  6. Step 6: Final answer
    x = 734.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.