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Finding the Fourth Proportional to 1,151.31, 1,727.09 and 371.28

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Solution

The fourth proportional to 1,151.31, 1,727.09 and 371.28 is: 556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.31 : 1,727.09 = 371.28 : x
  2. Step 2: Convert to fraction form
    1,151.31/1,727.09 = 371.28/x
  3. Step 3: Cross multiply
    1,151.31x = 1,727.09 × 371.28
  4. Step 4: Simplify right side
    1,151.31x = 641,239.99
  5. Step 5: Solve for x
    x = 641,239.99/1,151.31
  6. Step 6: Final answer
    x = 556.96

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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.