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Finding the Fourth Proportional to 828.78, 1,143.09 and 580.02

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Solution

The fourth proportional to 828.78, 1,143.09 and 580.02 is: 799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.78 : 1,143.09 = 580.02 : x
  2. Step 2: Convert to fraction form
    828.78/1,143.09 = 580.02/x
  3. Step 3: Cross multiply
    828.78x = 1,143.09 × 580.02
  4. Step 4: Simplify right side
    828.78x = 663,015.06
  5. Step 5: Solve for x
    x = 663,015.06/828.78
  6. Step 6: Final answer
    x = 799.99

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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.