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Finding the Fourth Proportional to 1,164.93, 1,745.85 and 855.33

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Solution

The fourth proportional to 1,164.93, 1,745.85 and 855.33 is: 1,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.93 : 1,745.85 = 855.33 : x
  2. Step 2: Convert to fraction form
    1,164.93/1,745.85 = 855.33/x
  3. Step 3: Cross multiply
    1,164.93x = 1,745.85 × 855.33
  4. Step 4: Simplify right side
    1,164.93x = 1,493,277.88
  5. Step 5: Solve for x
    x = 1,493,277.88/1,164.93
  6. Step 6: Final answer
    x = 1,281.86

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1.5x scale

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.