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Finding the Fourth Proportional to 894.39, 1,232.75 and 628.92

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Solution

The fourth proportional to 894.39, 1,232.75 and 628.92 is: 866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.39 : 1,232.75 = 628.92 : x
  2. Step 2: Convert to fraction form
    894.39/1,232.75 = 628.92/x
  3. Step 3: Cross multiply
    894.39x = 1,232.75 × 628.92
  4. Step 4: Simplify right side
    894.39x = 775,297.99
  5. Step 5: Solve for x
    x = 775,297.99/894.39
  6. Step 6: Final answer
    x = 866.85

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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.