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Finding the Fourth Proportional to 682.05, 1,021.84 and 389.19

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Solution

The fourth proportional to 682.05, 1,021.84 and 389.19 is: 583.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.05 : 1,021.84 = 389.19 : x
  2. Step 2: Convert to fraction form
    682.05/1,021.84 = 389.19/x
  3. Step 3: Cross multiply
    682.05x = 1,021.84 × 389.19
  4. Step 4: Simplify right side
    682.05x = 397,688.94
  5. Step 5: Solve for x
    x = 397,688.94/682.05
  6. Step 6: Final answer
    x = 583.08

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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.