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Finding the Fourth Proportional to 683.87, 943.62 and 389.08

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Solution

The fourth proportional to 683.87, 943.62 and 389.08 is: 536.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.87 : 943.62 = 389.08 : x
  2. Step 2: Convert to fraction form
    683.87/943.62 = 389.08/x
  3. Step 3: Cross multiply
    683.87x = 943.62 × 389.08
  4. Step 4: Simplify right side
    683.87x = 367,144.02
  5. Step 5: Solve for x
    x = 367,144.02/683.87
  6. Step 6: Final answer
    x = 536.86

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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.