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Finding the Fourth Proportional to 814.22, 1,222.40 and 786.14

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Solution

The fourth proportional to 814.22, 1,222.40 and 786.14 is: 1,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.22 : 1,222.40 = 786.14 : x
  2. Step 2: Convert to fraction form
    814.22/1,222.40 = 786.14/x
  3. Step 3: Cross multiply
    814.22x = 1,222.40 × 786.14
  4. Step 4: Simplify right side
    814.22x = 960,973.39
  5. Step 5: Solve for x
    x = 960,973.39/814.22
  6. Step 6: Final answer
    x = 1,180.25

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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.