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Finding the Fourth Proportional to 1,331.47, 1,996.53 and 406.81

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Solution

The fourth proportional to 1,331.47, 1,996.53 and 406.81 is: 610.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.47 : 1,996.53 = 406.81 : x
  2. Step 2: Convert to fraction form
    1,331.47/1,996.53 = 406.81/x
  3. Step 3: Cross multiply
    1,331.47x = 1,996.53 × 406.81
  4. Step 4: Simplify right side
    1,331.47x = 812,208.37
  5. Step 5: Solve for x
    x = 812,208.37/1,331.47
  6. Step 6: Final answer
    x = 610.01

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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.