Home / 1,004.11-1,506.09-273.76

Finding the Fourth Proportional to 1,004.11, 1,506.09 and 273.76

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Solution

The fourth proportional to 1,004.11, 1,506.09 and 273.76 is: 410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.11 : 1,506.09 = 273.76 : x
  2. Step 2: Convert to fraction form
    1,004.11/1,506.09 = 273.76/x
  3. Step 3: Cross multiply
    1,004.11x = 1,506.09 × 273.76
  4. Step 4: Simplify right side
    1,004.11x = 412,299.67
  5. Step 5: Solve for x
    x = 412,299.67/1,004.11
  6. Step 6: Final answer
    x = 410.61

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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.