Home / 1,206.23-1,812.98-796.77

Finding the Fourth Proportional to 1,206.23, 1,812.98 and 796.77

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Solution

The fourth proportional to 1,206.23, 1,812.98 and 796.77 is: 1,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.23 : 1,812.98 = 796.77 : x
  2. Step 2: Convert to fraction form
    1,206.23/1,812.98 = 796.77/x
  3. Step 3: Cross multiply
    1,206.23x = 1,812.98 × 796.77
  4. Step 4: Simplify right side
    1,206.23x = 1,444,530.07
  5. Step 5: Solve for x
    x = 1,444,530.07/1,206.23
  6. Step 6: Final answer
    x = 1,197.56

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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.