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Finding the Fourth Proportional to 1,197.92, 1,796.34 and 835.04

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Solution

The fourth proportional to 1,197.92, 1,796.34 and 835.04 is: 1,252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.92 : 1,796.34 = 835.04 : x
  2. Step 2: Convert to fraction form
    1,197.92/1,796.34 = 835.04/x
  3. Step 3: Cross multiply
    1,197.92x = 1,796.34 × 835.04
  4. Step 4: Simplify right side
    1,197.92x = 1,500,015.75
  5. Step 5: Solve for x
    x = 1,500,015.75/1,197.92
  6. Step 6: Final answer
    x = 1,252.18

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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.