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Finding the Fourth Proportional to 766.26, 1,057.42 and 416.94

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Solution

The fourth proportional to 766.26, 1,057.42 and 416.94 is: 575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.26 : 1,057.42 = 416.94 : x
  2. Step 2: Convert to fraction form
    766.26/1,057.42 = 416.94/x
  3. Step 3: Cross multiply
    766.26x = 1,057.42 × 416.94
  4. Step 4: Simplify right side
    766.26x = 440,880.69
  5. Step 5: Solve for x
    x = 440,880.69/766.26
  6. Step 6: Final answer
    x = 575.37

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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.