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Finding the Fourth Proportional to 851.14, 1,268.16 and 795.26

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Solution

The fourth proportional to 851.14, 1,268.16 and 795.26 is: 1,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.14 : 1,268.16 = 795.26 : x
  2. Step 2: Convert to fraction form
    851.14/1,268.16 = 795.26/x
  3. Step 3: Cross multiply
    851.14x = 1,268.16 × 795.26
  4. Step 4: Simplify right side
    851.14x = 1,008,512.95
  5. Step 5: Solve for x
    x = 1,008,512.95/851.14
  6. Step 6: Final answer
    x = 1,184.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.