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Finding the Fourth Proportional to 826.26, 1,237.74 and 403.50

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Solution

The fourth proportional to 826.26, 1,237.74 and 403.50 is: 604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.26 : 1,237.74 = 403.50 : x
  2. Step 2: Convert to fraction form
    826.26/1,237.74 = 403.50/x
  3. Step 3: Cross multiply
    826.26x = 1,237.74 × 403.50
  4. Step 4: Simplify right side
    826.26x = 499,428.09
  5. Step 5: Solve for x
    x = 499,428.09/826.26
  6. Step 6: Final answer
    x = 604.44

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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.