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Finding the Fourth Proportional to 826.51, 1,239.70 and 306.41

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Solution

The fourth proportional to 826.51, 1,239.70 and 306.41 is: 459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.51 : 1,239.70 = 306.41 : x
  2. Step 2: Convert to fraction form
    826.51/1,239.70 = 306.41/x
  3. Step 3: Cross multiply
    826.51x = 1,239.70 × 306.41
  4. Step 4: Simplify right side
    826.51x = 379,854.94
  5. Step 5: Solve for x
    x = 379,854.94/826.51
  6. Step 6: Final answer
    x = 459.59

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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.