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Finding the Fourth Proportional to 894.16, 1,233.32 and 629.15

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Solution

The fourth proportional to 894.16, 1,233.32 and 629.15 is: 867.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.16 : 1,233.32 = 629.15 : x
  2. Step 2: Convert to fraction form
    894.16/1,233.32 = 629.15/x
  3. Step 3: Cross multiply
    894.16x = 1,233.32 × 629.15
  4. Step 4: Simplify right side
    894.16x = 775,942.67
  5. Step 5: Solve for x
    x = 775,942.67/894.16
  6. Step 6: Final answer
    x = 867.79

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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.