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Finding the Fourth Proportional to 726.05, 1,089.21 and 239.24

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Solution

The fourth proportional to 726.05, 1,089.21 and 239.24 is: 358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.05 : 1,089.21 = 239.24 : x
  2. Step 2: Convert to fraction form
    726.05/1,089.21 = 239.24/x
  3. Step 3: Cross multiply
    726.05x = 1,089.21 × 239.24
  4. Step 4: Simplify right side
    726.05x = 260,582.60
  5. Step 5: Solve for x
    x = 260,582.60/726.05
  6. Step 6: Final answer
    x = 358.90

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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.