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Finding the Fourth Proportional to 896.58, 1,343.86 and 403.39

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Solution

The fourth proportional to 896.58, 1,343.86 and 403.39 is: 604.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.58 : 1,343.86 = 403.39 : x
  2. Step 2: Convert to fraction form
    896.58/1,343.86 = 403.39/x
  3. Step 3: Cross multiply
    896.58x = 1,343.86 × 403.39
  4. Step 4: Simplify right side
    896.58x = 542,099.69
  5. Step 5: Solve for x
    x = 542,099.69/896.58
  6. Step 6: Final answer
    x = 604.63

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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.