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Finding the Fourth Proportional to 1,222.08, 1,683.84 and 828.36

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Solution

The fourth proportional to 1,222.08, 1,683.84 and 828.36 is: 1,141.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.08 : 1,683.84 = 828.36 : x
  2. Step 2: Convert to fraction form
    1,222.08/1,683.84 = 828.36/x
  3. Step 3: Cross multiply
    1,222.08x = 1,683.84 × 828.36
  4. Step 4: Simplify right side
    1,222.08x = 1,394,825.70
  5. Step 5: Solve for x
    x = 1,394,825.70/1,222.08
  6. Step 6: Final answer
    x = 1,141.35

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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.