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Finding the Fourth Proportional to 1,164.14, 1,742.07 and 855.26

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Solution

The fourth proportional to 1,164.14, 1,742.07 and 855.26 is: 1,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.14 : 1,742.07 = 855.26 : x
  2. Step 2: Convert to fraction form
    1,164.14/1,742.07 = 855.26/x
  3. Step 3: Cross multiply
    1,164.14x = 1,742.07 × 855.26
  4. Step 4: Simplify right side
    1,164.14x = 1,489,922.79
  5. Step 5: Solve for x
    x = 1,489,922.79/1,164.14
  6. Step 6: Final answer
    x = 1,279.85

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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.