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Finding the Fourth Proportional to 1,137.11, 1,705.97 and 406.69

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Solution

The fourth proportional to 1,137.11, 1,705.97 and 406.69 is: 610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.11 : 1,705.97 = 406.69 : x
  2. Step 2: Convert to fraction form
    1,137.11/1,705.97 = 406.69/x
  3. Step 3: Cross multiply
    1,137.11x = 1,705.97 × 406.69
  4. Step 4: Simplify right side
    1,137.11x = 693,797.69
  5. Step 5: Solve for x
    x = 693,797.69/1,137.11
  6. Step 6: Final answer
    x = 610.14

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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.