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Finding the Fourth Proportional to 1,382.49, 2,073.75 and 408.61

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Solution

The fourth proportional to 1,382.49, 2,073.75 and 408.61 is: 612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.49 : 2,073.75 = 408.61 : x
  2. Step 2: Convert to fraction form
    1,382.49/2,073.75 = 408.61/x
  3. Step 3: Cross multiply
    1,382.49x = 2,073.75 × 408.61
  4. Step 4: Simplify right side
    1,382.49x = 847,354.99
  5. Step 5: Solve for x
    x = 847,354.99/1,382.49
  6. Step 6: Final answer
    x = 612.92

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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.