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Finding the Fourth Proportional to 826.06, 1,238.89 and 278.23

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Solution

The fourth proportional to 826.06, 1,238.89 and 278.23 is: 417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.06 : 1,238.89 = 278.23 : x
  2. Step 2: Convert to fraction form
    826.06/1,238.89 = 278.23/x
  3. Step 3: Cross multiply
    826.06x = 1,238.89 × 278.23
  4. Step 4: Simplify right side
    826.06x = 344,696.36
  5. Step 5: Solve for x
    x = 344,696.36/826.06
  6. Step 6: Final answer
    x = 417.28

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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.