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Finding the Fourth Proportional to 896.11, 1,344.51 and 409.39

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Solution

The fourth proportional to 896.11, 1,344.51 and 409.39 is: 614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.11 : 1,344.51 = 409.39 : x
  2. Step 2: Convert to fraction form
    896.11/1,344.51 = 409.39/x
  3. Step 3: Cross multiply
    896.11x = 1,344.51 × 409.39
  4. Step 4: Simplify right side
    896.11x = 550,425.59
  5. Step 5: Solve for x
    x = 550,425.59/896.11
  6. Step 6: Final answer
    x = 614.24

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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.