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Finding the Fourth Proportional to 682.46, 1,022.86 and 390.22

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Solution

The fourth proportional to 682.46, 1,022.86 and 390.22 is: 584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.46 : 1,022.86 = 390.22 : x
  2. Step 2: Convert to fraction form
    682.46/1,022.86 = 390.22/x
  3. Step 3: Cross multiply
    682.46x = 1,022.86 × 390.22
  4. Step 4: Simplify right side
    682.46x = 399,140.43
  5. Step 5: Solve for x
    x = 399,140.43/682.46
  6. Step 6: Final answer
    x = 584.86

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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.