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Finding the Fourth Proportional to 826.44, 1,239.89 and 461.49

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Solution

The fourth proportional to 826.44, 1,239.89 and 461.49 is: 692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.44 : 1,239.89 = 461.49 : x
  2. Step 2: Convert to fraction form
    826.44/1,239.89 = 461.49/x
  3. Step 3: Cross multiply
    826.44x = 1,239.89 × 461.49
  4. Step 4: Simplify right side
    826.44x = 572,196.84
  5. Step 5: Solve for x
    x = 572,196.84/826.44
  6. Step 6: Final answer
    x = 692.36

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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.