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Finding the Fourth Proportional to 1,099.10, 1,648.94 and 482.94

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Solution

The fourth proportional to 1,099.10, 1,648.94 and 482.94 is: 724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.10 : 1,648.94 = 482.94 : x
  2. Step 2: Convert to fraction form
    1,099.10/1,648.94 = 482.94/x
  3. Step 3: Cross multiply
    1,099.10x = 1,648.94 × 482.94
  4. Step 4: Simplify right side
    1,099.10x = 796,336.67
  5. Step 5: Solve for x
    x = 796,336.67/1,099.10
  6. Step 6: Final answer
    x = 724.54

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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.