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Finding the Fourth Proportional to 1,099.42, 1,649.70 and 482.92

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Solution

The fourth proportional to 1,099.42, 1,649.70 and 482.92 is: 724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.42 : 1,649.70 = 482.92 : x
  2. Step 2: Convert to fraction form
    1,099.42/1,649.70 = 482.92/x
  3. Step 3: Cross multiply
    1,099.42x = 1,649.70 × 482.92
  4. Step 4: Simplify right side
    1,099.42x = 796,673.12
  5. Step 5: Solve for x
    x = 796,673.12/1,099.42
  6. Step 6: Final answer
    x = 724.63

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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.