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Finding the Fourth Proportional to 1,202.88, 1,659.97 and 650.88

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Solution

The fourth proportional to 1,202.88, 1,659.97 and 650.88 is: 898.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.88 : 1,659.97 = 650.88 : x
  2. Step 2: Convert to fraction form
    1,202.88/1,659.97 = 650.88/x
  3. Step 3: Cross multiply
    1,202.88x = 1,659.97 × 650.88
  4. Step 4: Simplify right side
    1,202.88x = 1,080,441.27
  5. Step 5: Solve for x
    x = 1,080,441.27/1,202.88
  6. Step 6: Final answer
    x = 898.21

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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.