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Finding the Fourth Proportional to 826.65, 1,239.19 and 306.52

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Solution

The fourth proportional to 826.65, 1,239.19 and 306.52 is: 459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.65 : 1,239.19 = 306.52 : x
  2. Step 2: Convert to fraction form
    826.65/1,239.19 = 306.52/x
  3. Step 3: Cross multiply
    826.65x = 1,239.19 × 306.52
  4. Step 4: Simplify right side
    826.65x = 379,832.65
  5. Step 5: Solve for x
    x = 379,832.65/826.65
  6. Step 6: Final answer
    x = 459.48

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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.