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Finding the Fourth Proportional to 1,202.27, 1,659.56 and 852.35

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Solution

The fourth proportional to 1,202.27, 1,659.56 and 852.35 is: 1,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.27 : 1,659.56 = 852.35 : x
  2. Step 2: Convert to fraction form
    1,202.27/1,659.56 = 852.35/x
  3. Step 3: Cross multiply
    1,202.27x = 1,659.56 × 852.35
  4. Step 4: Simplify right side
    1,202.27x = 1,414,513.41
  5. Step 5: Solve for x
    x = 1,414,513.41/1,202.27
  6. Step 6: Final answer
    x = 1,176.54

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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.