Home / 1,292.16-1,782.96-850.80

Finding the Fourth Proportional to 1,292.16, 1,782.96 and 850.80

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Solution

The fourth proportional to 1,292.16, 1,782.96 and 850.80 is: 1,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.16 : 1,782.96 = 850.80 : x
  2. Step 2: Convert to fraction form
    1,292.16/1,782.96 = 850.80/x
  3. Step 3: Cross multiply
    1,292.16x = 1,782.96 × 850.80
  4. Step 4: Simplify right side
    1,292.16x = 1,516,942.37
  5. Step 5: Solve for x
    x = 1,516,942.37/1,292.16
  6. Step 6: Final answer
    x = 1,173.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.