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Finding the Fourth Proportional to 896.54, 1,238.24 and 612.48

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Solution

The fourth proportional to 896.54, 1,238.24 and 612.48 is: 845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.54 : 1,238.24 = 612.48 : x
  2. Step 2: Convert to fraction form
    896.54/1,238.24 = 612.48/x
  3. Step 3: Cross multiply
    896.54x = 1,238.24 × 612.48
  4. Step 4: Simplify right side
    896.54x = 758,394.17
  5. Step 5: Solve for x
    x = 758,394.17/896.54
  6. Step 6: Final answer
    x = 845.92

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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.