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Finding the Fourth Proportional to 1,212.09, 1,672.56 and 688.02

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Solution

The fourth proportional to 1,212.09, 1,672.56 and 688.02 is: 949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.09 : 1,672.56 = 688.02 : x
  2. Step 2: Convert to fraction form
    1,212.09/1,672.56 = 688.02/x
  3. Step 3: Cross multiply
    1,212.09x = 1,672.56 × 688.02
  4. Step 4: Simplify right side
    1,212.09x = 1,150,754.73
  5. Step 5: Solve for x
    x = 1,150,754.73/1,212.09
  6. Step 6: Final answer
    x = 949.40

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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.