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Finding the Fourth Proportional to 826.36, 1,240.02 and 364.24

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Solution

The fourth proportional to 826.36, 1,240.02 and 364.24 is: 546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.36 : 1,240.02 = 364.24 : x
  2. Step 2: Convert to fraction form
    826.36/1,240.02 = 364.24/x
  3. Step 3: Cross multiply
    826.36x = 1,240.02 × 364.24
  4. Step 4: Simplify right side
    826.36x = 451,664.88
  5. Step 5: Solve for x
    x = 451,664.88/826.36
  6. Step 6: Final answer
    x = 546.57

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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.