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Finding the Fourth Proportional to 825.79, 1,237.31 and 581.80

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Solution

The fourth proportional to 825.79, 1,237.31 and 581.80 is: 871.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.79 : 1,237.31 = 581.80 : x
  2. Step 2: Convert to fraction form
    825.79/1,237.31 = 581.80/x
  3. Step 3: Cross multiply
    825.79x = 1,237.31 × 581.80
  4. Step 4: Simplify right side
    825.79x = 719,866.96
  5. Step 5: Solve for x
    x = 719,866.96/825.79
  6. Step 6: Final answer
    x = 871.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.