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Finding the Fourth Proportional to 1,118.11, 1,677.44 and 338.09

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Solution

The fourth proportional to 1,118.11, 1,677.44 and 338.09 is: 507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.11 : 1,677.44 = 338.09 : x
  2. Step 2: Convert to fraction form
    1,118.11/1,677.44 = 338.09/x
  3. Step 3: Cross multiply
    1,118.11x = 1,677.44 × 338.09
  4. Step 4: Simplify right side
    1,118.11x = 567,125.69
  5. Step 5: Solve for x
    x = 567,125.69/1,118.11
  6. Step 6: Final answer
    x = 507.22

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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.