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Finding the Fourth Proportional to 684.52, 1,026.82 and 197.64

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Solution

The fourth proportional to 684.52, 1,026.82 and 197.64 is: 296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.52 : 1,026.82 = 197.64 : x
  2. Step 2: Convert to fraction form
    684.52/1,026.82 = 197.64/x
  3. Step 3: Cross multiply
    684.52x = 1,026.82 × 197.64
  4. Step 4: Simplify right side
    684.52x = 202,940.70
  5. Step 5: Solve for x
    x = 202,940.70/684.52
  6. Step 6: Final answer
    x = 296.47

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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.