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Finding the Fourth Proportional to 1,212.04, 1,672.64 and 688.06

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Solution

The fourth proportional to 1,212.04, 1,672.64 and 688.06 is: 949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.04 : 1,672.64 = 688.06 : x
  2. Step 2: Convert to fraction form
    1,212.04/1,672.64 = 688.06/x
  3. Step 3: Cross multiply
    1,212.04x = 1,672.64 × 688.06
  4. Step 4: Simplify right side
    1,212.04x = 1,150,876.68
  5. Step 5: Solve for x
    x = 1,150,876.68/1,212.04
  6. Step 6: Final answer
    x = 949.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.