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Finding the Fourth Proportional to 685.63, 944.70 and 573.21

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Solution

The fourth proportional to 685.63, 944.70 and 573.21 is: 789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.63 : 944.70 = 573.21 : x
  2. Step 2: Convert to fraction form
    685.63/944.70 = 573.21/x
  3. Step 3: Cross multiply
    685.63x = 944.70 × 573.21
  4. Step 4: Simplify right side
    685.63x = 541,509.34
  5. Step 5: Solve for x
    x = 541,509.34/685.63
  6. Step 6: Final answer
    x = 789.80

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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.