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Finding the Fourth Proportional to 888.24, 1,226.40 and 556.80

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Solution

The fourth proportional to 888.24, 1,226.40 and 556.80 is: 768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.24 : 1,226.40 = 556.80 : x
  2. Step 2: Convert to fraction form
    888.24/1,226.40 = 556.80/x
  3. Step 3: Cross multiply
    888.24x = 1,226.40 × 556.80
  4. Step 4: Simplify right side
    888.24x = 682,859.52
  5. Step 5: Solve for x
    x = 682,859.52/888.24
  6. Step 6: Final answer
    x = 768.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.