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Finding the Fourth Proportional to 826.11, 1,238.31 and 305.64

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Solution

The fourth proportional to 826.11, 1,238.31 and 305.64 is: 458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.11 : 1,238.31 = 305.64 : x
  2. Step 2: Convert to fraction form
    826.11/1,238.31 = 305.64/x
  3. Step 3: Cross multiply
    826.11x = 1,238.31 × 305.64
  4. Step 4: Simplify right side
    826.11x = 378,477.07
  5. Step 5: Solve for x
    x = 378,477.07/826.11
  6. Step 6: Final answer
    x = 458.14

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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.