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Finding the Fourth Proportional to 1,099.84, 1,650.30 and 828.28

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Solution

The fourth proportional to 1,099.84, 1,650.30 and 828.28 is: 1,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.84 : 1,650.30 = 828.28 : x
  2. Step 2: Convert to fraction form
    1,099.84/1,650.30 = 828.28/x
  3. Step 3: Cross multiply
    1,099.84x = 1,650.30 × 828.28
  4. Step 4: Simplify right side
    1,099.84x = 1,366,910.48
  5. Step 5: Solve for x
    x = 1,366,910.48/1,099.84
  6. Step 6: Final answer
    x = 1,242.83

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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.