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Finding the Fourth Proportional to 826.94, 1,240.41 and 313.94

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Solution

The fourth proportional to 826.94, 1,240.41 and 313.94 is: 470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.94 : 1,240.41 = 313.94 : x
  2. Step 2: Convert to fraction form
    826.94/1,240.41 = 313.94/x
  3. Step 3: Cross multiply
    826.94x = 1,240.41 × 313.94
  4. Step 4: Simplify right side
    826.94x = 389,414.32
  5. Step 5: Solve for x
    x = 389,414.32/826.94
  6. Step 6: Final answer
    x = 470.91

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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.