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Finding the Fourth Proportional to 1,111.14, 1,666.11 and 331.03

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Solution

The fourth proportional to 1,111.14, 1,666.11 and 331.03 is: 496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.14 : 1,666.11 = 331.03 : x
  2. Step 2: Convert to fraction form
    1,111.14/1,666.11 = 331.03/x
  3. Step 3: Cross multiply
    1,111.14x = 1,666.11 × 331.03
  4. Step 4: Simplify right side
    1,111.14x = 551,532.39
  5. Step 5: Solve for x
    x = 551,532.39/1,111.14
  6. Step 6: Final answer
    x = 496.37

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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.