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Finding the Fourth Proportional to 1,138.92, 1,708.17 and 408.43

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Solution

The fourth proportional to 1,138.92, 1,708.17 and 408.43 is: 612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.92 : 1,708.17 = 408.43 : x
  2. Step 2: Convert to fraction form
    1,138.92/1,708.17 = 408.43/x
  3. Step 3: Cross multiply
    1,138.92x = 1,708.17 × 408.43
  4. Step 4: Simplify right side
    1,138.92x = 697,667.87
  5. Step 5: Solve for x
    x = 697,667.87/1,138.92
  6. Step 6: Final answer
    x = 612.57

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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.