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Finding the Fourth Proportional to 1,164.22, 1,745.79 and 677.41

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Solution

The fourth proportional to 1,164.22, 1,745.79 and 677.41 is: 1,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.22 : 1,745.79 = 677.41 : x
  2. Step 2: Convert to fraction form
    1,164.22/1,745.79 = 677.41/x
  3. Step 3: Cross multiply
    1,164.22x = 1,745.79 × 677.41
  4. Step 4: Simplify right side
    1,164.22x = 1,182,615.60
  5. Step 5: Solve for x
    x = 1,182,615.60/1,164.22
  6. Step 6: Final answer
    x = 1,015.80

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Why These Related Problems?

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