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Finding the Fourth Proportional to 825.83, 1,238.61 and 306.08

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Solution

The fourth proportional to 825.83, 1,238.61 and 306.08 is: 459.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.83 : 1,238.61 = 306.08 : x
  2. Step 2: Convert to fraction form
    825.83/1,238.61 = 306.08/x
  3. Step 3: Cross multiply
    825.83x = 1,238.61 × 306.08
  4. Step 4: Simplify right side
    825.83x = 379,113.75
  5. Step 5: Solve for x
    x = 379,113.75/825.83
  6. Step 6: Final answer
    x = 459.07

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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.