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Finding the Fourth Proportional to 814.44, 1,222.78 and 553.72

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Solution

The fourth proportional to 814.44, 1,222.78 and 553.72 is: 831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.44 : 1,222.78 = 553.72 : x
  2. Step 2: Convert to fraction form
    814.44/1,222.78 = 553.72/x
  3. Step 3: Cross multiply
    814.44x = 1,222.78 × 553.72
  4. Step 4: Simplify right side
    814.44x = 677,077.74
  5. Step 5: Solve for x
    x = 677,077.74/814.44
  6. Step 6: Final answer
    x = 831.34

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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.