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Finding the Fourth Proportional to 1,474.97, 2,213.23 and 597.57

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Solution

The fourth proportional to 1,474.97, 2,213.23 and 597.57 is: 896.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.97 : 2,213.23 = 597.57 : x
  2. Step 2: Convert to fraction form
    1,474.97/2,213.23 = 597.57/x
  3. Step 3: Cross multiply
    1,474.97x = 2,213.23 × 597.57
  4. Step 4: Simplify right side
    1,474.97x = 1,322,553.44
  5. Step 5: Solve for x
    x = 1,322,553.44/1,474.97
  6. Step 6: Final answer
    x = 896.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.