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Finding the Fourth Proportional to 684.52, 1,026.45 and 197.44

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Solution

The fourth proportional to 684.52, 1,026.45 and 197.44 is: 296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.52 : 1,026.45 = 197.44 : x
  2. Step 2: Convert to fraction form
    684.52/1,026.45 = 197.44/x
  3. Step 3: Cross multiply
    684.52x = 1,026.45 × 197.44
  4. Step 4: Simplify right side
    684.52x = 202,659.72
  5. Step 5: Solve for x
    x = 202,659.72/684.52
  6. Step 6: Final answer
    x = 296.06

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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.