Home / 1,196.24-1,794.06-537.75

Finding the Fourth Proportional to 1,196.24, 1,794.06 and 537.75

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Solution

The fourth proportional to 1,196.24, 1,794.06 and 537.75 is: 806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.24 : 1,794.06 = 537.75 : x
  2. Step 2: Convert to fraction form
    1,196.24/1,794.06 = 537.75/x
  3. Step 3: Cross multiply
    1,196.24x = 1,794.06 × 537.75
  4. Step 4: Simplify right side
    1,196.24x = 964,755.77
  5. Step 5: Solve for x
    x = 964,755.77/1,196.24
  6. Step 6: Final answer
    x = 806.49

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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.