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Finding the Fourth Proportional to 825.79, 1,238.80 and 298.65

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Solution

The fourth proportional to 825.79, 1,238.80 and 298.65 is: 448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.79 : 1,238.80 = 298.65 : x
  2. Step 2: Convert to fraction form
    825.79/1,238.80 = 298.65/x
  3. Step 3: Cross multiply
    825.79x = 1,238.80 × 298.65
  4. Step 4: Simplify right side
    825.79x = 369,971.52
  5. Step 5: Solve for x
    x = 369,971.52/825.79
  6. Step 6: Final answer
    x = 448.02

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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.