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Finding the Fourth Proportional to 823.99, 1,234.75 and 763.24

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Solution

The fourth proportional to 823.99, 1,234.75 and 763.24 is: 1,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.99 : 1,234.75 = 763.24 : x
  2. Step 2: Convert to fraction form
    823.99/1,234.75 = 763.24/x
  3. Step 3: Cross multiply
    823.99x = 1,234.75 × 763.24
  4. Step 4: Simplify right side
    823.99x = 942,410.59
  5. Step 5: Solve for x
    x = 942,410.59/823.99
  6. Step 6: Final answer
    x = 1,143.72

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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.