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Finding the Fourth Proportional to 694.54, 957.82 and 461.26

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Solution

The fourth proportional to 694.54, 957.82 and 461.26 is: 636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.54 : 957.82 = 461.26 : x
  2. Step 2: Convert to fraction form
    694.54/957.82 = 461.26/x
  3. Step 3: Cross multiply
    694.54x = 957.82 × 461.26
  4. Step 4: Simplify right side
    694.54x = 441,804.05
  5. Step 5: Solve for x
    x = 441,804.05/694.54
  6. Step 6: Final answer
    x = 636.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.