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Finding the Fourth Proportional to 888.56, 1,226.36 and 557.27

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Solution

The fourth proportional to 888.56, 1,226.36 and 557.27 is: 769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.56 : 1,226.36 = 557.27 : x
  2. Step 2: Convert to fraction form
    888.56/1,226.36 = 557.27/x
  3. Step 3: Cross multiply
    888.56x = 1,226.36 × 557.27
  4. Step 4: Simplify right side
    888.56x = 683,413.64
  5. Step 5: Solve for x
    x = 683,413.64/888.56
  6. Step 6: Final answer
    x = 769.12

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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.