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Finding the Fourth Proportional to 1,221.22, 1,831.74 and 490.24

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Solution

The fourth proportional to 1,221.22, 1,831.74 and 490.24 is: 735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.22 : 1,831.74 = 490.24 : x
  2. Step 2: Convert to fraction form
    1,221.22/1,831.74 = 490.24/x
  3. Step 3: Cross multiply
    1,221.22x = 1,831.74 × 490.24
  4. Step 4: Simplify right side
    1,221.22x = 897,992.22
  5. Step 5: Solve for x
    x = 897,992.22/1,221.22
  6. Step 6: Final answer
    x = 735.32

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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.