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Finding the Fourth Proportional to 684.57, 1,027.04 and 197.62

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Solution

The fourth proportional to 684.57, 1,027.04 and 197.62 is: 296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.57 : 1,027.04 = 197.62 : x
  2. Step 2: Convert to fraction form
    684.57/1,027.04 = 197.62/x
  3. Step 3: Cross multiply
    684.57x = 1,027.04 × 197.62
  4. Step 4: Simplify right side
    684.57x = 202,963.64
  5. Step 5: Solve for x
    x = 202,963.64/684.57
  6. Step 6: Final answer
    x = 296.48

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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.