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Finding the Fourth Proportional to 684.88, 1,027.05 and 396.52

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Solution

The fourth proportional to 684.88, 1,027.05 and 396.52 is: 594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.88 : 1,027.05 = 396.52 : x
  2. Step 2: Convert to fraction form
    684.88/1,027.05 = 396.52/x
  3. Step 3: Cross multiply
    684.88x = 1,027.05 × 396.52
  4. Step 4: Simplify right side
    684.88x = 407,245.87
  5. Step 5: Solve for x
    x = 407,245.87/684.88
  6. Step 6: Final answer
    x = 594.62

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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.