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Finding the Fourth Proportional to 825.23, 1,138.39 and 488.94

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Solution

The fourth proportional to 825.23, 1,138.39 and 488.94 is: 674.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.23 : 1,138.39 = 488.94 : x
  2. Step 2: Convert to fraction form
    825.23/1,138.39 = 488.94/x
  3. Step 3: Cross multiply
    825.23x = 1,138.39 × 488.94
  4. Step 4: Simplify right side
    825.23x = 556,603.18
  5. Step 5: Solve for x
    x = 556,603.18/825.23
  6. Step 6: Final answer
    x = 674.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.