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Finding the Fourth Proportional to 896.32, 1,344.86 and 824.56

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Solution

The fourth proportional to 896.32, 1,344.86 and 824.56 is: 1,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.32 : 1,344.86 = 824.56 : x
  2. Step 2: Convert to fraction form
    896.32/1,344.86 = 824.56/x
  3. Step 3: Cross multiply
    896.32x = 1,344.86 × 824.56
  4. Step 4: Simplify right side
    896.32x = 1,108,917.76
  5. Step 5: Solve for x
    x = 1,108,917.76/896.32
  6. Step 6: Final answer
    x = 1,237.19

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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.