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Finding the Fourth Proportional to 1,096.18, 1,644.36 and 402.76

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Solution

The fourth proportional to 1,096.18, 1,644.36 and 402.76 is: 604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.18 : 1,644.36 = 402.76 : x
  2. Step 2: Convert to fraction form
    1,096.18/1,644.36 = 402.76/x
  3. Step 3: Cross multiply
    1,096.18x = 1,644.36 × 402.76
  4. Step 4: Simplify right side
    1,096.18x = 662,282.43
  5. Step 5: Solve for x
    x = 662,282.43/1,096.18
  6. Step 6: Final answer
    x = 604.17

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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.