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Finding the Fourth Proportional to 1,228.15, 1,694.82 and 676.15

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Solution

The fourth proportional to 1,228.15, 1,694.82 and 676.15 is: 933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.15 : 1,694.82 = 676.15 : x
  2. Step 2: Convert to fraction form
    1,228.15/1,694.82 = 676.15/x
  3. Step 3: Cross multiply
    1,228.15x = 1,694.82 × 676.15
  4. Step 4: Simplify right side
    1,228.15x = 1,145,945.76
  5. Step 5: Solve for x
    x = 1,145,945.76/1,228.15
  6. Step 6: Final answer
    x = 933.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.