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Finding the Fourth Proportional to 684.01, 1,025.83 and 197.08

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Solution

The fourth proportional to 684.01, 1,025.83 and 197.08 is: 295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.01 : 1,025.83 = 197.08 : x
  2. Step 2: Convert to fraction form
    684.01/1,025.83 = 197.08/x
  3. Step 3: Cross multiply
    684.01x = 1,025.83 × 197.08
  4. Step 4: Simplify right side
    684.01x = 202,170.58
  5. Step 5: Solve for x
    x = 202,170.58/684.01
  6. Step 6: Final answer
    x = 295.57

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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.