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Finding the Fourth Proportional to 896.13, 1,236.54 and 523.08

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Solution

The fourth proportional to 896.13, 1,236.54 and 523.08 is: 721.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.13 : 1,236.54 = 523.08 : x
  2. Step 2: Convert to fraction form
    896.13/1,236.54 = 523.08/x
  3. Step 3: Cross multiply
    896.13x = 1,236.54 × 523.08
  4. Step 4: Simplify right side
    896.13x = 646,809.34
  5. Step 5: Solve for x
    x = 646,809.34/896.13
  6. Step 6: Final answer
    x = 721.78

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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.