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Finding the Fourth Proportional to 826.47, 1,237.22 and 533.39

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Solution

The fourth proportional to 826.47, 1,237.22 and 533.39 is: 798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.47 : 1,237.22 = 533.39 : x
  2. Step 2: Convert to fraction form
    826.47/1,237.22 = 533.39/x
  3. Step 3: Cross multiply
    826.47x = 1,237.22 × 533.39
  4. Step 4: Simplify right side
    826.47x = 659,911.92
  5. Step 5: Solve for x
    x = 659,911.92/826.47
  6. Step 6: Final answer
    x = 798.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.