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Finding the Fourth Proportional to 1,096.84, 1,644.45 and 980.20

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Solution

The fourth proportional to 1,096.84, 1,644.45 and 980.20 is: 1,469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.84 : 1,644.45 = 980.20 : x
  2. Step 2: Convert to fraction form
    1,096.84/1,644.45 = 980.20/x
  3. Step 3: Cross multiply
    1,096.84x = 1,644.45 × 980.20
  4. Step 4: Simplify right side
    1,096.84x = 1,611,889.89
  5. Step 5: Solve for x
    x = 1,611,889.89/1,096.84
  6. Step 6: Final answer
    x = 1,469.58

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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.