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Finding the Fourth Proportional to 826.14, 1,238.90 and 306.02

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Solution

The fourth proportional to 826.14, 1,238.90 and 306.02 is: 458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.14 : 1,238.90 = 306.02 : x
  2. Step 2: Convert to fraction form
    826.14/1,238.90 = 306.02/x
  3. Step 3: Cross multiply
    826.14x = 1,238.90 × 306.02
  4. Step 4: Simplify right side
    826.14x = 379,128.18
  5. Step 5: Solve for x
    x = 379,128.18/826.14
  6. Step 6: Final answer
    x = 458.92

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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.