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Finding the Fourth Proportional to 1,151.32, 1,727.06 and 360.57

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Solution

The fourth proportional to 1,151.32, 1,727.06 and 360.57 is: 540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.32 : 1,727.06 = 360.57 : x
  2. Step 2: Convert to fraction form
    1,151.32/1,727.06 = 360.57/x
  3. Step 3: Cross multiply
    1,151.32x = 1,727.06 × 360.57
  4. Step 4: Simplify right side
    1,151.32x = 622,726.02
  5. Step 5: Solve for x
    x = 622,726.02/1,151.32
  6. Step 6: Final answer
    x = 540.88

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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.