Home / 1,176.14-1,764.54-396.20

Finding the Fourth Proportional to 1,176.14, 1,764.54 and 396.20

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Solution

The fourth proportional to 1,176.14, 1,764.54 and 396.20 is: 594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.14 : 1,764.54 = 396.20 : x
  2. Step 2: Convert to fraction form
    1,176.14/1,764.54 = 396.20/x
  3. Step 3: Cross multiply
    1,176.14x = 1,764.54 × 396.20
  4. Step 4: Simplify right side
    1,176.14x = 699,110.75
  5. Step 5: Solve for x
    x = 699,110.75/1,176.14
  6. Step 6: Final answer
    x = 594.41

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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.