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Finding the Fourth Proportional to 726.08, 1,089.19 and 232.56

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Solution

The fourth proportional to 726.08, 1,089.19 and 232.56 is: 348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.08 : 1,089.19 = 232.56 : x
  2. Step 2: Convert to fraction form
    726.08/1,089.19 = 232.56/x
  3. Step 3: Cross multiply
    726.08x = 1,089.19 × 232.56
  4. Step 4: Simplify right side
    726.08x = 253,302.03
  5. Step 5: Solve for x
    x = 253,302.03/726.08
  6. Step 6: Final answer
    x = 348.86

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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.