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Finding the Fourth Proportional to 826.36, 1,239.78 and 461.42

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Solution

The fourth proportional to 826.36, 1,239.78 and 461.42 is: 692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.36 : 1,239.78 = 461.42 : x
  2. Step 2: Convert to fraction form
    826.36/1,239.78 = 461.42/x
  3. Step 3: Cross multiply
    826.36x = 1,239.78 × 461.42
  4. Step 4: Simplify right side
    826.36x = 572,059.29
  5. Step 5: Solve for x
    x = 572,059.29/826.36
  6. Step 6: Final answer
    x = 692.26

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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.