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Finding the Fourth Proportional to 1,323.05, 1,983.20 and 628.67

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Solution

The fourth proportional to 1,323.05, 1,983.20 and 628.67 is: 942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.05 : 1,983.20 = 628.67 : x
  2. Step 2: Convert to fraction form
    1,323.05/1,983.20 = 628.67/x
  3. Step 3: Cross multiply
    1,323.05x = 1,983.20 × 628.67
  4. Step 4: Simplify right side
    1,323.05x = 1,246,780.16
  5. Step 5: Solve for x
    x = 1,246,780.16/1,323.05
  6. Step 6: Final answer
    x = 942.36

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