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Finding the Fourth Proportional to 1,151.56, 1,727.22 and 382.12

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Solution

The fourth proportional to 1,151.56, 1,727.22 and 382.12 is: 573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.56 : 1,727.22 = 382.12 : x
  2. Step 2: Convert to fraction form
    1,151.56/1,727.22 = 382.12/x
  3. Step 3: Cross multiply
    1,151.56x = 1,727.22 × 382.12
  4. Step 4: Simplify right side
    1,151.56x = 660,005.31
  5. Step 5: Solve for x
    x = 660,005.31/1,151.56
  6. Step 6: Final answer
    x = 573.14

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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.