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Finding the Fourth Proportional to 825.82, 1,238.93 and 582.82

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Solution

The fourth proportional to 825.82, 1,238.93 and 582.82 is: 874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.82 : 1,238.93 = 582.82 : x
  2. Step 2: Convert to fraction form
    825.82/1,238.93 = 582.82/x
  3. Step 3: Cross multiply
    825.82x = 1,238.93 × 582.82
  4. Step 4: Simplify right side
    825.82x = 722,070.40
  5. Step 5: Solve for x
    x = 722,070.40/825.82
  6. Step 6: Final answer
    x = 874.37

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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.