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Finding the Fourth Proportional to 1,164.80, 1,744.91 and 676.82

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Solution

The fourth proportional to 1,164.80, 1,744.91 and 676.82 is: 1,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.80 : 1,744.91 = 676.82 : x
  2. Step 2: Convert to fraction form
    1,164.80/1,744.91 = 676.82/x
  3. Step 3: Cross multiply
    1,164.80x = 1,744.91 × 676.82
  4. Step 4: Simplify right side
    1,164.80x = 1,180,977.88
  5. Step 5: Solve for x
    x = 1,180,977.88/1,164.80
  6. Step 6: Final answer
    x = 1,013.89

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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.