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Finding the Fourth Proportional to 1,137.26, 1,705.77 and 406.82

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Solution

The fourth proportional to 1,137.26, 1,705.77 and 406.82 is: 610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.26 : 1,705.77 = 406.82 : x
  2. Step 2: Convert to fraction form
    1,137.26/1,705.77 = 406.82/x
  3. Step 3: Cross multiply
    1,137.26x = 1,705.77 × 406.82
  4. Step 4: Simplify right side
    1,137.26x = 693,941.35
  5. Step 5: Solve for x
    x = 693,941.35/1,137.26
  6. Step 6: Final answer
    x = 610.19

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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.