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Finding the Fourth Proportional to 826.67, 1,239.27 and 461.57

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Solution

The fourth proportional to 826.67, 1,239.27 and 461.57 is: 691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.67 : 1,239.27 = 461.57 : x
  2. Step 2: Convert to fraction form
    826.67/1,239.27 = 461.57/x
  3. Step 3: Cross multiply
    826.67x = 1,239.27 × 461.57
  4. Step 4: Simplify right side
    826.67x = 572,009.85
  5. Step 5: Solve for x
    x = 572,009.85/826.67
  6. Step 6: Final answer
    x = 691.94

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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.