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Finding the Fourth Proportional to 1,096.56, 1,642.41 and 609.30

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Solution

The fourth proportional to 1,096.56, 1,642.41 and 609.30 is: 912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.56 : 1,642.41 = 609.30 : x
  2. Step 2: Convert to fraction form
    1,096.56/1,642.41 = 609.30/x
  3. Step 3: Cross multiply
    1,096.56x = 1,642.41 × 609.30
  4. Step 4: Simplify right side
    1,096.56x = 1,000,720.41
  5. Step 5: Solve for x
    x = 1,000,720.41/1,096.56
  6. Step 6: Final answer
    x = 912.60

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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.