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Finding the Fourth Proportional to 1,220.52, 1,831.61 and 490.15

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Solution

The fourth proportional to 1,220.52, 1,831.61 and 490.15 is: 735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.52 : 1,831.61 = 490.15 : x
  2. Step 2: Convert to fraction form
    1,220.52/1,831.61 = 490.15/x
  3. Step 3: Cross multiply
    1,220.52x = 1,831.61 × 490.15
  4. Step 4: Simplify right side
    1,220.52x = 897,767.16
  5. Step 5: Solve for x
    x = 897,767.16/1,220.52
  6. Step 6: Final answer
    x = 735.56

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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.