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Finding the Fourth Proportional to 896.27, 1,235.53 and 633.83

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Solution

The fourth proportional to 896.27, 1,235.53 and 633.83 is: 873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.27 : 1,235.53 = 633.83 : x
  2. Step 2: Convert to fraction form
    896.27/1,235.53 = 633.83/x
  3. Step 3: Cross multiply
    896.27x = 1,235.53 × 633.83
  4. Step 4: Simplify right side
    896.27x = 783,115.98
  5. Step 5: Solve for x
    x = 783,115.98/896.27
  6. Step 6: Final answer
    x = 873.75

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Why These Related Problems?

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