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Finding the Fourth Proportional to 1,107.76, 1,663.26 and 676.84

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Solution

The fourth proportional to 1,107.76, 1,663.26 and 676.84 is: 1,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.76 : 1,663.26 = 676.84 : x
  2. Step 2: Convert to fraction form
    1,107.76/1,663.26 = 676.84/x
  3. Step 3: Cross multiply
    1,107.76x = 1,663.26 × 676.84
  4. Step 4: Simplify right side
    1,107.76x = 1,125,760.90
  5. Step 5: Solve for x
    x = 1,125,760.90/1,107.76
  6. Step 6: Final answer
    x = 1,016.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.