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Finding the Fourth Proportional to 726.59, 1,089.72 and 206.58

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Solution

The fourth proportional to 726.59, 1,089.72 and 206.58 is: 309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.59 : 1,089.72 = 206.58 : x
  2. Step 2: Convert to fraction form
    726.59/1,089.72 = 206.58/x
  3. Step 3: Cross multiply
    726.59x = 1,089.72 × 206.58
  4. Step 4: Simplify right side
    726.59x = 225,115.96
  5. Step 5: Solve for x
    x = 225,115.96/726.59
  6. Step 6: Final answer
    x = 309.83

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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.