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Finding the Fourth Proportional to 1,137.14, 1,705.98 and 406.66

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Solution

The fourth proportional to 1,137.14, 1,705.98 and 406.66 is: 610.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.14 : 1,705.98 = 406.66 : x
  2. Step 2: Convert to fraction form
    1,137.14/1,705.98 = 406.66/x
  3. Step 3: Cross multiply
    1,137.14x = 1,705.98 × 406.66
  4. Step 4: Simplify right side
    1,137.14x = 693,753.83
  5. Step 5: Solve for x
    x = 693,753.83/1,137.14
  6. Step 6: Final answer
    x = 610.09

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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.