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Finding the Fourth Proportional to 896.47, 1,236.46 and 601.23

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Solution

The fourth proportional to 896.47, 1,236.46 and 601.23 is: 829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.47 : 1,236.46 = 601.23 : x
  2. Step 2: Convert to fraction form
    896.47/1,236.46 = 601.23/x
  3. Step 3: Cross multiply
    896.47x = 1,236.46 × 601.23
  4. Step 4: Simplify right side
    896.47x = 743,396.85
  5. Step 5: Solve for x
    x = 743,396.85/896.47
  6. Step 6: Final answer
    x = 829.25

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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.