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Finding the Fourth Proportional to 1,150.77, 1,726.27 and 329.06

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Solution

The fourth proportional to 1,150.77, 1,726.27 and 329.06 is: 493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.77 : 1,726.27 = 329.06 : x
  2. Step 2: Convert to fraction form
    1,150.77/1,726.27 = 329.06/x
  3. Step 3: Cross multiply
    1,150.77x = 1,726.27 × 329.06
  4. Step 4: Simplify right side
    1,150.77x = 568,049.90
  5. Step 5: Solve for x
    x = 568,049.90/1,150.77
  6. Step 6: Final answer
    x = 493.62

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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.