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Finding the Fourth Proportional to 826.64, 1,240.46 and 364.42

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Solution

The fourth proportional to 826.64, 1,240.46 and 364.42 is: 546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.64 : 1,240.46 = 364.42 : x
  2. Step 2: Convert to fraction form
    826.64/1,240.46 = 364.42/x
  3. Step 3: Cross multiply
    826.64x = 1,240.46 × 364.42
  4. Step 4: Simplify right side
    826.64x = 452,048.43
  5. Step 5: Solve for x
    x = 452,048.43/826.64
  6. Step 6: Final answer
    x = 546.85

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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.