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Finding the Fourth Proportional to 1,212.37, 1,673.12 and 688.37

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Solution

The fourth proportional to 1,212.37, 1,673.12 and 688.37 is: 949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.37 : 1,673.12 = 688.37 : x
  2. Step 2: Convert to fraction form
    1,212.37/1,673.12 = 688.37/x
  3. Step 3: Cross multiply
    1,212.37x = 1,673.12 × 688.37
  4. Step 4: Simplify right side
    1,212.37x = 1,151,718.97
  5. Step 5: Solve for x
    x = 1,151,718.97/1,212.37
  6. Step 6: Final answer
    x = 949.98

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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.