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Finding the Fourth Proportional to 1,212.32, 1,672.89 and 688.25

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Solution

The fourth proportional to 1,212.32, 1,672.89 and 688.25 is: 949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.32 : 1,672.89 = 688.25 : x
  2. Step 2: Convert to fraction form
    1,212.32/1,672.89 = 688.25/x
  3. Step 3: Cross multiply
    1,212.32x = 1,672.89 × 688.25
  4. Step 4: Simplify right side
    1,212.32x = 1,151,366.54
  5. Step 5: Solve for x
    x = 1,151,366.54/1,212.32
  6. Step 6: Final answer
    x = 949.72

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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.