Home / 1,219.26-1,828.22-569.37

Finding the Fourth Proportional to 1,219.26, 1,828.22 and 569.37

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Solution

The fourth proportional to 1,219.26, 1,828.22 and 569.37 is: 853.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.26 : 1,828.22 = 569.37 : x
  2. Step 2: Convert to fraction form
    1,219.26/1,828.22 = 569.37/x
  3. Step 3: Cross multiply
    1,219.26x = 1,828.22 × 569.37
  4. Step 4: Simplify right side
    1,219.26x = 1,040,930.77
  5. Step 5: Solve for x
    x = 1,040,930.77/1,219.26
  6. Step 6: Final answer
    x = 853.74

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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.