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Finding the Fourth Proportional to 679.26, 1,017.69 and 473.43

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Solution

The fourth proportional to 679.26, 1,017.69 and 473.43 is: 709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.26 : 1,017.69 = 473.43 : x
  2. Step 2: Convert to fraction form
    679.26/1,017.69 = 473.43/x
  3. Step 3: Cross multiply
    679.26x = 1,017.69 × 473.43
  4. Step 4: Simplify right side
    679.26x = 481,804.98
  5. Step 5: Solve for x
    x = 481,804.98/679.26
  6. Step 6: Final answer
    x = 709.31

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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.