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Finding the Fourth Proportional to 896.68, 1,237.26 and 547.48

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Solution

The fourth proportional to 896.68, 1,237.26 and 547.48 is: 755.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.68 : 1,237.26 = 547.48 : x
  2. Step 2: Convert to fraction form
    896.68/1,237.26 = 547.48/x
  3. Step 3: Cross multiply
    896.68x = 1,237.26 × 547.48
  4. Step 4: Simplify right side
    896.68x = 677,375.10
  5. Step 5: Solve for x
    x = 677,375.10/896.68
  6. Step 6: Final answer
    x = 755.43

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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.