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Finding the Fourth Proportional to 825.96, 1,239.15 and 582.96

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Solution

The fourth proportional to 825.96, 1,239.15 and 582.96 is: 874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.96 : 1,239.15 = 582.96 : x
  2. Step 2: Convert to fraction form
    825.96/1,239.15 = 582.96/x
  3. Step 3: Cross multiply
    825.96x = 1,239.15 × 582.96
  4. Step 4: Simplify right side
    825.96x = 722,371.97
  5. Step 5: Solve for x
    x = 722,371.97/825.96
  6. Step 6: Final answer
    x = 874.58

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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.