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Finding the Fourth Proportional to 1,331.15, 1,997.01 and 406.77

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Solution

The fourth proportional to 1,331.15, 1,997.01 and 406.77 is: 610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.15 : 1,997.01 = 406.77 : x
  2. Step 2: Convert to fraction form
    1,331.15/1,997.01 = 406.77/x
  3. Step 3: Cross multiply
    1,331.15x = 1,997.01 × 406.77
  4. Step 4: Simplify right side
    1,331.15x = 812,331.25
  5. Step 5: Solve for x
    x = 812,331.25/1,331.15
  6. Step 6: Final answer
    x = 610.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.