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Finding the Fourth Proportional to 684.41, 1,026.71 and 197.60

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Solution

The fourth proportional to 684.41, 1,026.71 and 197.60 is: 296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.41 : 1,026.71 = 197.60 : x
  2. Step 2: Convert to fraction form
    684.41/1,026.71 = 197.60/x
  3. Step 3: Cross multiply
    684.41x = 1,026.71 × 197.60
  4. Step 4: Simplify right side
    684.41x = 202,871.77
  5. Step 5: Solve for x
    x = 202,871.77/684.41
  6. Step 6: Final answer
    x = 296.42

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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.