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Finding the Fourth Proportional to 1,028, 1,418.24 and 629.68

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Solution

The fourth proportional to 1,028, 1,418.24 and 629.68 is: 868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028 : 1,418.24 = 629.68 : x
  2. Step 2: Convert to fraction form
    1,028/1,418.24 = 629.68/x
  3. Step 3: Cross multiply
    1,028x = 1,418.24 × 629.68
  4. Step 4: Simplify right side
    1,028x = 893,037.36
  5. Step 5: Solve for x
    x = 893,037.36/1,028
  6. Step 6: Final answer
    x = 868.71

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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.