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Finding the Fourth Proportional to 1,039.79, 1,435.22 and 620.43

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Solution

The fourth proportional to 1,039.79, 1,435.22 and 620.43 is: 856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.79 : 1,435.22 = 620.43 : x
  2. Step 2: Convert to fraction form
    1,039.79/1,435.22 = 620.43/x
  3. Step 3: Cross multiply
    1,039.79x = 1,435.22 × 620.43
  4. Step 4: Simplify right side
    1,039.79x = 890,450.44
  5. Step 5: Solve for x
    x = 890,450.44/1,039.79
  6. Step 6: Final answer
    x = 856.38

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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.