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Finding the Fourth Proportional to 828.37, 1,143.69 and 513.97

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Solution

The fourth proportional to 828.37, 1,143.69 and 513.97 is: 709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.37 : 1,143.69 = 513.97 : x
  2. Step 2: Convert to fraction form
    828.37/1,143.69 = 513.97/x
  3. Step 3: Cross multiply
    828.37x = 1,143.69 × 513.97
  4. Step 4: Simplify right side
    828.37x = 587,814.06
  5. Step 5: Solve for x
    x = 587,814.06/828.37
  6. Step 6: Final answer
    x = 709.60

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