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Finding the Fourth Proportional to 1,483.98, 2,227.32 and 704.46

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Solution

The fourth proportional to 1,483.98, 2,227.32 and 704.46 is: 1,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.98 : 2,227.32 = 704.46 : x
  2. Step 2: Convert to fraction form
    1,483.98/2,227.32 = 704.46/x
  3. Step 3: Cross multiply
    1,483.98x = 2,227.32 × 704.46
  4. Step 4: Simplify right side
    1,483.98x = 1,569,057.85
  5. Step 5: Solve for x
    x = 1,569,057.85/1,483.98
  6. Step 6: Final answer
    x = 1,057.33

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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.