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Finding the Fourth Proportional to 825.91, 1,238.87 and 414.63

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Solution

The fourth proportional to 825.91, 1,238.87 and 414.63 is: 621.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.91 : 1,238.87 = 414.63 : x
  2. Step 2: Convert to fraction form
    825.91/1,238.87 = 414.63/x
  3. Step 3: Cross multiply
    825.91x = 1,238.87 × 414.63
  4. Step 4: Simplify right side
    825.91x = 513,673.70
  5. Step 5: Solve for x
    x = 513,673.70/825.91
  6. Step 6: Final answer
    x = 621.95

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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.