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Finding the Fourth Proportional to 1,221.11, 1,831.46 and 355.22

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Solution

The fourth proportional to 1,221.11, 1,831.46 and 355.22 is: 532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.11 : 1,831.46 = 355.22 : x
  2. Step 2: Convert to fraction form
    1,221.11/1,831.46 = 355.22/x
  3. Step 3: Cross multiply
    1,221.11x = 1,831.46 × 355.22
  4. Step 4: Simplify right side
    1,221.11x = 650,569.15
  5. Step 5: Solve for x
    x = 650,569.15/1,221.11
  6. Step 6: Final answer
    x = 532.77

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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.