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Finding the Fourth Proportional to 1,180.54, 1,628.67 and 676.42

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Solution

The fourth proportional to 1,180.54, 1,628.67 and 676.42 is: 933.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.54 : 1,628.67 = 676.42 : x
  2. Step 2: Convert to fraction form
    1,180.54/1,628.67 = 676.42/x
  3. Step 3: Cross multiply
    1,180.54x = 1,628.67 × 676.42
  4. Step 4: Simplify right side
    1,180.54x = 1,101,663.43
  5. Step 5: Solve for x
    x = 1,101,663.43/1,180.54
  6. Step 6: Final answer
    x = 933.19

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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.