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Finding the Fourth Proportional to 679.43, 937.46 and 580.21

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Solution

The fourth proportional to 679.43, 937.46 and 580.21 is: 800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.43 : 937.46 = 580.21 : x
  2. Step 2: Convert to fraction form
    679.43/937.46 = 580.21/x
  3. Step 3: Cross multiply
    679.43x = 937.46 × 580.21
  4. Step 4: Simplify right side
    679.43x = 543,923.67
  5. Step 5: Solve for x
    x = 543,923.67/679.43
  6. Step 6: Final answer
    x = 800.56

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