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Finding the Fourth Proportional to 1,164.35, 1,745.97 and 677.54

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Solution

The fourth proportional to 1,164.35, 1,745.97 and 677.54 is: 1,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.35 : 1,745.97 = 677.54 : x
  2. Step 2: Convert to fraction form
    1,164.35/1,745.97 = 677.54/x
  3. Step 3: Cross multiply
    1,164.35x = 1,745.97 × 677.54
  4. Step 4: Simplify right side
    1,164.35x = 1,182,955.78
  5. Step 5: Solve for x
    x = 1,182,955.78/1,164.35
  6. Step 6: Final answer
    x = 1,015.98

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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.