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Finding the Fourth Proportional to 660.11, 905.92 and 597.80

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Solution

The fourth proportional to 660.11, 905.92 and 597.80 is: 820.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.11 : 905.92 = 597.80 : x
  2. Step 2: Convert to fraction form
    660.11/905.92 = 597.80/x
  3. Step 3: Cross multiply
    660.11x = 905.92 × 597.80
  4. Step 4: Simplify right side
    660.11x = 541,558.98
  5. Step 5: Solve for x
    x = 541,558.98/660.11
  6. Step 6: Final answer
    x = 820.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.