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Finding the Fourth Proportional to 1,220.81, 1,831.13 and 489.88

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Solution

The fourth proportional to 1,220.81, 1,831.13 and 489.88 is: 734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.81 : 1,831.13 = 489.88 : x
  2. Step 2: Convert to fraction form
    1,220.81/1,831.13 = 489.88/x
  3. Step 3: Cross multiply
    1,220.81x = 1,831.13 × 489.88
  4. Step 4: Simplify right side
    1,220.81x = 897,022.36
  5. Step 5: Solve for x
    x = 897,022.36/1,220.81
  6. Step 6: Final answer
    x = 734.78

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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.