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Finding the Fourth Proportional to 825.81, 1,238.64 and 415.24

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Solution

The fourth proportional to 825.81, 1,238.64 and 415.24 is: 622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.81 : 1,238.64 = 415.24 : x
  2. Step 2: Convert to fraction form
    825.81/1,238.64 = 415.24/x
  3. Step 3: Cross multiply
    825.81x = 1,238.64 × 415.24
  4. Step 4: Simplify right side
    825.81x = 514,337.52
  5. Step 5: Solve for x
    x = 514,337.52/825.81
  6. Step 6: Final answer
    x = 622.83

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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.