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Finding the Fourth Proportional to 1,220.77, 1,831.25 and 489.94

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Solution

The fourth proportional to 1,220.77, 1,831.25 and 489.94 is: 734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.77 : 1,831.25 = 489.94 : x
  2. Step 2: Convert to fraction form
    1,220.77/1,831.25 = 489.94/x
  3. Step 3: Cross multiply
    1,220.77x = 1,831.25 × 489.94
  4. Step 4: Simplify right side
    1,220.77x = 897,202.63
  5. Step 5: Solve for x
    x = 897,202.63/1,220.77
  6. Step 6: Final answer
    x = 734.95

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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.