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Finding the Fourth Proportional to 828.99, 1,142.73 and 566.55

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Solution

The fourth proportional to 828.99, 1,142.73 and 566.55 is: 780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.99 : 1,142.73 = 566.55 : x
  2. Step 2: Convert to fraction form
    828.99/1,142.73 = 566.55/x
  3. Step 3: Cross multiply
    828.99x = 1,142.73 × 566.55
  4. Step 4: Simplify right side
    828.99x = 647,413.68
  5. Step 5: Solve for x
    x = 647,413.68/828.99
  6. Step 6: Final answer
    x = 780.97

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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.