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Finding the Fourth Proportional to 823.32, 1,232.25 and 677.52

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Solution

The fourth proportional to 823.32, 1,232.25 and 677.52 is: 1,014.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.32 : 1,232.25 = 677.52 : x
  2. Step 2: Convert to fraction form
    823.32/1,232.25 = 677.52/x
  3. Step 3: Cross multiply
    823.32x = 1,232.25 × 677.52
  4. Step 4: Simplify right side
    823.32x = 834,874.02
  5. Step 5: Solve for x
    x = 834,874.02/823.32
  6. Step 6: Final answer
    x = 1,014.03

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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.