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Finding the Fourth Proportional to 1,222.36, 1,686 and 828.76

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Solution

The fourth proportional to 1,222.36, 1,686 and 828.76 is: 1,143.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.36 : 1,686 = 828.76 : x
  2. Step 2: Convert to fraction form
    1,222.36/1,686 = 828.76/x
  3. Step 3: Cross multiply
    1,222.36x = 1,686 × 828.76
  4. Step 4: Simplify right side
    1,222.36x = 1,397,289.36
  5. Step 5: Solve for x
    x = 1,397,289.36/1,222.36
  6. Step 6: Final answer
    x = 1,143.11

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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.