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Finding the Fourth Proportional to 826.69, 1,240.26 and 461.74

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Solution

The fourth proportional to 826.69, 1,240.26 and 461.74 is: 692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.69 : 1,240.26 = 461.74 : x
  2. Step 2: Convert to fraction form
    826.69/1,240.26 = 461.74/x
  3. Step 3: Cross multiply
    826.69x = 1,240.26 × 461.74
  4. Step 4: Simplify right side
    826.69x = 572,677.65
  5. Step 5: Solve for x
    x = 572,677.65/826.69
  6. Step 6: Final answer
    x = 692.74

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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.