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Finding the Fourth Proportional to 684.36, 1,025.52 and 406.80

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Solution

The fourth proportional to 684.36, 1,025.52 and 406.80 is: 609.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.36 : 1,025.52 = 406.80 : x
  2. Step 2: Convert to fraction form
    684.36/1,025.52 = 406.80/x
  3. Step 3: Cross multiply
    684.36x = 1,025.52 × 406.80
  4. Step 4: Simplify right side
    684.36x = 417,181.54
  5. Step 5: Solve for x
    x = 417,181.54/684.36
  6. Step 6: Final answer
    x = 609.59

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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.