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Finding the Fourth Proportional to 1,206.75, 1,665.41 and 741.09

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Solution

The fourth proportional to 1,206.75, 1,665.41 and 741.09 is: 1,022.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.75 : 1,665.41 = 741.09 : x
  2. Step 2: Convert to fraction form
    1,206.75/1,665.41 = 741.09/x
  3. Step 3: Cross multiply
    1,206.75x = 1,665.41 × 741.09
  4. Step 4: Simplify right side
    1,206.75x = 1,234,214.99
  5. Step 5: Solve for x
    x = 1,234,214.99/1,206.75
  6. Step 6: Final answer
    x = 1,022.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.