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Finding the Fourth Proportional to 685.08, 1,029.96 and 600.12

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Solution

The fourth proportional to 685.08, 1,029.96 and 600.12 is: 902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.08 : 1,029.96 = 600.12 : x
  2. Step 2: Convert to fraction form
    685.08/1,029.96 = 600.12/x
  3. Step 3: Cross multiply
    685.08x = 1,029.96 × 600.12
  4. Step 4: Simplify right side
    685.08x = 618,099.60
  5. Step 5: Solve for x
    x = 618,099.60/685.08
  6. Step 6: Final answer
    x = 902.23

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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.