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Finding the Fourth Proportional to 1,382.15, 2,073.58 and 408.24

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Solution

The fourth proportional to 1,382.15, 2,073.58 and 408.24 is: 612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.15 : 2,073.58 = 408.24 : x
  2. Step 2: Convert to fraction form
    1,382.15/2,073.58 = 408.24/x
  3. Step 3: Cross multiply
    1,382.15x = 2,073.58 × 408.24
  4. Step 4: Simplify right side
    1,382.15x = 846,517.28
  5. Step 5: Solve for x
    x = 846,517.28/1,382.15
  6. Step 6: Final answer
    x = 612.46

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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.