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Finding the Fourth Proportional to 825.79, 1,238.04 and 414.72

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Solution

The fourth proportional to 825.79, 1,238.04 and 414.72 is: 621.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.79 : 1,238.04 = 414.72 : x
  2. Step 2: Convert to fraction form
    825.79/1,238.04 = 414.72/x
  3. Step 3: Cross multiply
    825.79x = 1,238.04 × 414.72
  4. Step 4: Simplify right side
    825.79x = 513,439.95
  5. Step 5: Solve for x
    x = 513,439.95/825.79
  6. Step 6: Final answer
    x = 621.76

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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.