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Finding the Fourth Proportional to 684.20, 1,023.87 and 394.22

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Solution

The fourth proportional to 684.20, 1,023.87 and 394.22 is: 589.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.20 : 1,023.87 = 394.22 : x
  2. Step 2: Convert to fraction form
    684.20/1,023.87 = 394.22/x
  3. Step 3: Cross multiply
    684.20x = 1,023.87 × 394.22
  4. Step 4: Simplify right side
    684.20x = 403,630.03
  5. Step 5: Solve for x
    x = 403,630.03/684.20
  6. Step 6: Final answer
    x = 589.93

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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.