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Finding the Fourth Proportional to 1,321.94, 1,982.50 and 628.22

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Solution

The fourth proportional to 1,321.94, 1,982.50 and 628.22 is: 942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.94 : 1,982.50 = 628.22 : x
  2. Step 2: Convert to fraction form
    1,321.94/1,982.50 = 628.22/x
  3. Step 3: Cross multiply
    1,321.94x = 1,982.50 × 628.22
  4. Step 4: Simplify right side
    1,321.94x = 1,245,449.54
  5. Step 5: Solve for x
    x = 1,245,449.54/1,321.94
  6. Step 6: Final answer
    x = 942.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.