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Finding the Fourth Proportional to 825.22, 1,138.82 and 510.54

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Solution

The fourth proportional to 825.22, 1,138.82 and 510.54 is: 704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.22 : 1,138.82 = 510.54 : x
  2. Step 2: Convert to fraction form
    825.22/1,138.82 = 510.54/x
  3. Step 3: Cross multiply
    825.22x = 1,138.82 × 510.54
  4. Step 4: Simplify right side
    825.22x = 581,413.16
  5. Step 5: Solve for x
    x = 581,413.16/825.22
  6. Step 6: Final answer
    x = 704.56

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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.