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Finding the Fourth Proportional to 827.31, 1,141.29 and 578.54

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Solution

The fourth proportional to 827.31, 1,141.29 and 578.54 is: 798.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.31 : 1,141.29 = 578.54 : x
  2. Step 2: Convert to fraction form
    827.31/1,141.29 = 578.54/x
  3. Step 3: Cross multiply
    827.31x = 1,141.29 × 578.54
  4. Step 4: Simplify right side
    827.31x = 660,284.77
  5. Step 5: Solve for x
    x = 660,284.77/827.31
  6. Step 6: Final answer
    x = 798.11

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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.