Home / 1,186.44-1,780.59-823.78

Finding the Fourth Proportional to 1,186.44, 1,780.59 and 823.78

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Solution

The fourth proportional to 1,186.44, 1,780.59 and 823.78 is: 1,236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.44 : 1,780.59 = 823.78 : x
  2. Step 2: Convert to fraction form
    1,186.44/1,780.59 = 823.78/x
  3. Step 3: Cross multiply
    1,186.44x = 1,780.59 × 823.78
  4. Step 4: Simplify right side
    1,186.44x = 1,466,814.43
  5. Step 5: Solve for x
    x = 1,466,814.43/1,186.44
  6. Step 6: Final answer
    x = 1,236.32

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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.