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Finding the Fourth Proportional to 1,138.68, 1,708.20 and 408.33

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Solution

The fourth proportional to 1,138.68, 1,708.20 and 408.33 is: 612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.68 : 1,708.20 = 408.33 : x
  2. Step 2: Convert to fraction form
    1,138.68/1,708.20 = 408.33/x
  3. Step 3: Cross multiply
    1,138.68x = 1,708.20 × 408.33
  4. Step 4: Simplify right side
    1,138.68x = 697,509.31
  5. Step 5: Solve for x
    x = 697,509.31/1,138.68
  6. Step 6: Final answer
    x = 612.56

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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.