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Finding the Fourth Proportional to 1,099.56, 1,648.84 and 329.88

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Solution

The fourth proportional to 1,099.56, 1,648.84 and 329.88 is: 494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.56 : 1,648.84 = 329.88 : x
  2. Step 2: Convert to fraction form
    1,099.56/1,648.84 = 329.88/x
  3. Step 3: Cross multiply
    1,099.56x = 1,648.84 × 329.88
  4. Step 4: Simplify right side
    1,099.56x = 543,919.34
  5. Step 5: Solve for x
    x = 543,919.34/1,099.56
  6. Step 6: Final answer
    x = 494.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.