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Finding the Fourth Proportional to 825.68, 1,238.12 and 305.93

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Solution

The fourth proportional to 825.68, 1,238.12 and 305.93 is: 458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.68 : 1,238.12 = 305.93 : x
  2. Step 2: Convert to fraction form
    825.68/1,238.12 = 305.93/x
  3. Step 3: Cross multiply
    825.68x = 1,238.12 × 305.93
  4. Step 4: Simplify right side
    825.68x = 378,781.91
  5. Step 5: Solve for x
    x = 378,781.91/825.68
  6. Step 6: Final answer
    x = 458.75

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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.