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Finding the Fourth Proportional to 896.70, 1,344.89 and 409.63

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Solution

The fourth proportional to 896.70, 1,344.89 and 409.63 is: 614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.70 : 1,344.89 = 409.63 : x
  2. Step 2: Convert to fraction form
    896.70/1,344.89 = 409.63/x
  3. Step 3: Cross multiply
    896.70x = 1,344.89 × 409.63
  4. Step 4: Simplify right side
    896.70x = 550,907.29
  5. Step 5: Solve for x
    x = 550,907.29/896.70
  6. Step 6: Final answer
    x = 614.37

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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.