Home / 1,284.28-1,926.27-406.76

Finding the Fourth Proportional to 1,284.28, 1,926.27 and 406.76

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Solution

The fourth proportional to 1,284.28, 1,926.27 and 406.76 is: 610.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.28 : 1,926.27 = 406.76 : x
  2. Step 2: Convert to fraction form
    1,284.28/1,926.27 = 406.76/x
  3. Step 3: Cross multiply
    1,284.28x = 1,926.27 × 406.76
  4. Step 4: Simplify right side
    1,284.28x = 783,519.95
  5. Step 5: Solve for x
    x = 783,519.95/1,284.28
  6. Step 6: Final answer
    x = 610.09

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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.