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Finding the Fourth Proportional to 1,137.16, 1,705.86 and 406.90

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Solution

The fourth proportional to 1,137.16, 1,705.86 and 406.90 is: 610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.16 : 1,705.86 = 406.90 : x
  2. Step 2: Convert to fraction form
    1,137.16/1,705.86 = 406.90/x
  3. Step 3: Cross multiply
    1,137.16x = 1,705.86 × 406.90
  4. Step 4: Simplify right side
    1,137.16x = 694,114.43
  5. Step 5: Solve for x
    x = 694,114.43/1,137.16
  6. Step 6: Final answer
    x = 610.39

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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.