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Finding the Fourth Proportional to 684.25, 1,027.90 and 489.73

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Solution

The fourth proportional to 684.25, 1,027.90 and 489.73 is: 735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.25 : 1,027.90 = 489.73 : x
  2. Step 2: Convert to fraction form
    684.25/1,027.90 = 489.73/x
  3. Step 3: Cross multiply
    684.25x = 1,027.90 × 489.73
  4. Step 4: Simplify right side
    684.25x = 503,393.47
  5. Step 5: Solve for x
    x = 503,393.47/684.25
  6. Step 6: Final answer
    x = 735.69

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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.