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Finding the Fourth Proportional to 1,395.97, 2,093.61 and 408.52

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Solution

The fourth proportional to 1,395.97, 2,093.61 and 408.52 is: 612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.97 : 2,093.61 = 408.52 : x
  2. Step 2: Convert to fraction form
    1,395.97/2,093.61 = 408.52/x
  3. Step 3: Cross multiply
    1,395.97x = 2,093.61 × 408.52
  4. Step 4: Simplify right side
    1,395.97x = 855,281.56
  5. Step 5: Solve for x
    x = 855,281.56/1,395.97
  6. Step 6: Final answer
    x = 612.68

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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.