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Finding the Fourth Proportional to 1,099.25, 1,648.28 and 482.23

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Solution

The fourth proportional to 1,099.25, 1,648.28 and 482.23 is: 723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.25 : 1,648.28 = 482.23 : x
  2. Step 2: Convert to fraction form
    1,099.25/1,648.28 = 482.23/x
  3. Step 3: Cross multiply
    1,099.25x = 1,648.28 × 482.23
  4. Step 4: Simplify right side
    1,099.25x = 794,853.33
  5. Step 5: Solve for x
    x = 794,853.33/1,099.25
  6. Step 6: Final answer
    x = 723.09

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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.