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Finding the Fourth Proportional to 827.17, 1,139.54 and 578.05

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Solution

The fourth proportional to 827.17, 1,139.54 and 578.05 is: 796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.17 : 1,139.54 = 578.05 : x
  2. Step 2: Convert to fraction form
    827.17/1,139.54 = 578.05/x
  3. Step 3: Cross multiply
    827.17x = 1,139.54 × 578.05
  4. Step 4: Simplify right side
    827.17x = 658,711.10
  5. Step 5: Solve for x
    x = 658,711.10/827.17
  6. Step 6: Final answer
    x = 796.34

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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.