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Finding the Fourth Proportional to 1,212.80, 1,673.48 and 681.70

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Solution

The fourth proportional to 1,212.80, 1,673.48 and 681.70 is: 940.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.80 : 1,673.48 = 681.70 : x
  2. Step 2: Convert to fraction form
    1,212.80/1,673.48 = 681.70/x
  3. Step 3: Cross multiply
    1,212.80x = 1,673.48 × 681.70
  4. Step 4: Simplify right side
    1,212.80x = 1,140,811.32
  5. Step 5: Solve for x
    x = 1,140,811.32/1,212.80
  6. Step 6: Final answer
    x = 940.64

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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.