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Finding the Fourth Proportional to 1,212.16, 1,672.78 and 688.19

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Solution

The fourth proportional to 1,212.16, 1,672.78 and 688.19 is: 949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.16 : 1,672.78 = 688.19 : x
  2. Step 2: Convert to fraction form
    1,212.16/1,672.78 = 688.19/x
  3. Step 3: Cross multiply
    1,212.16x = 1,672.78 × 688.19
  4. Step 4: Simplify right side
    1,212.16x = 1,151,190.47
  5. Step 5: Solve for x
    x = 1,151,190.47/1,212.16
  6. Step 6: Final answer
    x = 949.70

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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.