Home / 1,277.09-1,763.23-834.83

Finding the Fourth Proportional to 1,277.09, 1,763.23 and 834.83

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Solution

The fourth proportional to 1,277.09, 1,763.23 and 834.83 is: 1,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.09 : 1,763.23 = 834.83 : x
  2. Step 2: Convert to fraction form
    1,277.09/1,763.23 = 834.83/x
  3. Step 3: Cross multiply
    1,277.09x = 1,763.23 × 834.83
  4. Step 4: Simplify right side
    1,277.09x = 1,471,997.30
  5. Step 5: Solve for x
    x = 1,471,997.30/1,277.09
  6. Step 6: Final answer
    x = 1,152.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.