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Finding the Fourth Proportional to 896.30, 1,237.18 and 523.43

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Solution

The fourth proportional to 896.30, 1,237.18 and 523.43 is: 722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.30 : 1,237.18 = 523.43 : x
  2. Step 2: Convert to fraction form
    896.30/1,237.18 = 523.43/x
  3. Step 3: Cross multiply
    896.30x = 1,237.18 × 523.43
  4. Step 4: Simplify right side
    896.30x = 647,577.13
  5. Step 5: Solve for x
    x = 647,577.13/896.30
  6. Step 6: Final answer
    x = 722.50

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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.