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Finding the Fourth Proportional to 1,220.77, 1,831.14 and 489.82

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Solution

The fourth proportional to 1,220.77, 1,831.14 and 489.82 is: 734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.77 : 1,831.14 = 489.82 : x
  2. Step 2: Convert to fraction form
    1,220.77/1,831.14 = 489.82/x
  3. Step 3: Cross multiply
    1,220.77x = 1,831.14 × 489.82
  4. Step 4: Simplify right side
    1,220.77x = 896,928.99
  5. Step 5: Solve for x
    x = 896,928.99/1,220.77
  6. Step 6: Final answer
    x = 734.72

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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.