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Finding the Fourth Proportional to 685.02, 944.26 and 601.99

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Solution

The fourth proportional to 685.02, 944.26 and 601.99 is: 829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.02 : 944.26 = 601.99 : x
  2. Step 2: Convert to fraction form
    685.02/944.26 = 601.99/x
  3. Step 3: Cross multiply
    685.02x = 944.26 × 601.99
  4. Step 4: Simplify right side
    685.02x = 568,431.21
  5. Step 5: Solve for x
    x = 568,431.21/685.02
  6. Step 6: Final answer
    x = 829.80

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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.