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Finding the Fourth Proportional to 1,321.52, 1,982.10 and 443.98

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Solution

The fourth proportional to 1,321.52, 1,982.10 and 443.98 is: 665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.52 : 1,982.10 = 443.98 : x
  2. Step 2: Convert to fraction form
    1,321.52/1,982.10 = 443.98/x
  3. Step 3: Cross multiply
    1,321.52x = 1,982.10 × 443.98
  4. Step 4: Simplify right side
    1,321.52x = 880,012.76
  5. Step 5: Solve for x
    x = 880,012.76/1,321.52
  6. Step 6: Final answer
    x = 665.91

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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.