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Finding the Fourth Proportional to 826.09, 1,239.21 and 306.23

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Solution

The fourth proportional to 826.09, 1,239.21 and 306.23 is: 459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.09 : 1,239.21 = 306.23 : x
  2. Step 2: Convert to fraction form
    826.09/1,239.21 = 306.23/x
  3. Step 3: Cross multiply
    826.09x = 1,239.21 × 306.23
  4. Step 4: Simplify right side
    826.09x = 379,477.08
  5. Step 5: Solve for x
    x = 379,477.08/826.09
  6. Step 6: Final answer
    x = 459.37

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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.