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Finding the Fourth Proportional to 1,138.64, 1,708.29 and 408.27

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Solution

The fourth proportional to 1,138.64, 1,708.29 and 408.27 is: 612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.64 : 1,708.29 = 408.27 : x
  2. Step 2: Convert to fraction form
    1,138.64/1,708.29 = 408.27/x
  3. Step 3: Cross multiply
    1,138.64x = 1,708.29 × 408.27
  4. Step 4: Simplify right side
    1,138.64x = 697,441.52
  5. Step 5: Solve for x
    x = 697,441.52/1,138.64
  6. Step 6: Final answer
    x = 612.52

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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.