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Finding the Fourth Proportional to 1,220.92, 1,830.54 and 440.74

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Solution

The fourth proportional to 1,220.92, 1,830.54 and 440.74 is: 660.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.92 : 1,830.54 = 440.74 : x
  2. Step 2: Convert to fraction form
    1,220.92/1,830.54 = 440.74/x
  3. Step 3: Cross multiply
    1,220.92x = 1,830.54 × 440.74
  4. Step 4: Simplify right side
    1,220.92x = 806,792.20
  5. Step 5: Solve for x
    x = 806,792.20/1,220.92
  6. Step 6: Final answer
    x = 660.81

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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.