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Finding the Fourth Proportional to 726.09, 1,089.02 and 239.14

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Solution

The fourth proportional to 726.09, 1,089.02 and 239.14 is: 358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.09 : 1,089.02 = 239.14 : x
  2. Step 2: Convert to fraction form
    726.09/1,089.02 = 239.14/x
  3. Step 3: Cross multiply
    726.09x = 1,089.02 × 239.14
  4. Step 4: Simplify right side
    726.09x = 260,430.20
  5. Step 5: Solve for x
    x = 260,430.20/726.09
  6. Step 6: Final answer
    x = 358.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.