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Finding the Fourth Proportional to 826.94, 1,240.64 and 461.99

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Solution

The fourth proportional to 826.94, 1,240.64 and 461.99 is: 693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.94 : 1,240.64 = 461.99 : x
  2. Step 2: Convert to fraction form
    826.94/1,240.64 = 461.99/x
  3. Step 3: Cross multiply
    826.94x = 1,240.64 × 461.99
  4. Step 4: Simplify right side
    826.94x = 573,163.27
  5. Step 5: Solve for x
    x = 573,163.27/826.94
  6. Step 6: Final answer
    x = 693.11

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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.