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Finding the Fourth Proportional to 1,138.82, 1,707.18 and 408.26

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Solution

The fourth proportional to 1,138.82, 1,707.18 and 408.26 is: 612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.82 : 1,707.18 = 408.26 : x
  2. Step 2: Convert to fraction form
    1,138.82/1,707.18 = 408.26/x
  3. Step 3: Cross multiply
    1,138.82x = 1,707.18 × 408.26
  4. Step 4: Simplify right side
    1,138.82x = 696,973.31
  5. Step 5: Solve for x
    x = 696,973.31/1,138.82
  6. Step 6: Final answer
    x = 612.01

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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.