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Finding the Fourth Proportional to 826.12, 1,239.26 and 306.10

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Solution

The fourth proportional to 826.12, 1,239.26 and 306.10 is: 459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.12 : 1,239.26 = 306.10 : x
  2. Step 2: Convert to fraction form
    826.12/1,239.26 = 306.10/x
  3. Step 3: Cross multiply
    826.12x = 1,239.26 × 306.10
  4. Step 4: Simplify right side
    826.12x = 379,337.49
  5. Step 5: Solve for x
    x = 379,337.49/826.12
  6. Step 6: Final answer
    x = 459.18

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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.