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Finding the Fourth Proportional to 1,382.24, 2,072.96 and 408.48

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Solution

The fourth proportional to 1,382.24, 2,072.96 and 408.48 is: 612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.24 : 2,072.96 = 408.48 : x
  2. Step 2: Convert to fraction form
    1,382.24/2,072.96 = 408.48/x
  3. Step 3: Cross multiply
    1,382.24x = 2,072.96 × 408.48
  4. Step 4: Simplify right side
    1,382.24x = 846,762.70
  5. Step 5: Solve for x
    x = 846,762.70/1,382.24
  6. Step 6: Final answer
    x = 612.60

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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.