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Finding the Fourth Proportional to 823.23, 1,232.96 and 525.96

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Solution

The fourth proportional to 823.23, 1,232.96 and 525.96 is: 787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.23 : 1,232.96 = 525.96 : x
  2. Step 2: Convert to fraction form
    823.23/1,232.96 = 525.96/x
  3. Step 3: Cross multiply
    823.23x = 1,232.96 × 525.96
  4. Step 4: Simplify right side
    823.23x = 648,485.01
  5. Step 5: Solve for x
    x = 648,485.01/823.23
  6. Step 6: Final answer
    x = 787.73

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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.