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Finding the Fourth Proportional to 683.93, 943.44 and 487.73

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Solution

The fourth proportional to 683.93, 943.44 and 487.73 is: 672.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.93 : 943.44 = 487.73 : x
  2. Step 2: Convert to fraction form
    683.93/943.44 = 487.73/x
  3. Step 3: Cross multiply
    683.93x = 943.44 × 487.73
  4. Step 4: Simplify right side
    683.93x = 460,143.99
  5. Step 5: Solve for x
    x = 460,143.99/683.93
  6. Step 6: Final answer
    x = 672.79

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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.