Home / 1,185.80-1,778.66-320.12

Finding the Fourth Proportional to 1,185.80, 1,778.66 and 320.12

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Solution

The fourth proportional to 1,185.80, 1,778.66 and 320.12 is: 480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.80 : 1,778.66 = 320.12 : x
  2. Step 2: Convert to fraction form
    1,185.80/1,778.66 = 320.12/x
  3. Step 3: Cross multiply
    1,185.80x = 1,778.66 × 320.12
  4. Step 4: Simplify right side
    1,185.80x = 569,384.64
  5. Step 5: Solve for x
    x = 569,384.64/1,185.80
  6. Step 6: Final answer
    x = 480.17

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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.