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Finding the Fourth Proportional to 683.92, 945.09 and 559.54

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Solution

The fourth proportional to 683.92, 945.09 and 559.54 is: 773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.92 : 945.09 = 559.54 : x
  2. Step 2: Convert to fraction form
    683.92/945.09 = 559.54/x
  3. Step 3: Cross multiply
    683.92x = 945.09 × 559.54
  4. Step 4: Simplify right side
    683.92x = 528,811.52
  5. Step 5: Solve for x
    x = 528,811.52/683.92
  6. Step 6: Final answer
    x = 773.21

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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.