Home / 1,268.14-1,749.24-770.29

Finding the Fourth Proportional to 1,268.14, 1,749.24 and 770.29

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Solution

The fourth proportional to 1,268.14, 1,749.24 and 770.29 is: 1,062.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.14 : 1,749.24 = 770.29 : x
  2. Step 2: Convert to fraction form
    1,268.14/1,749.24 = 770.29/x
  3. Step 3: Cross multiply
    1,268.14x = 1,749.24 × 770.29
  4. Step 4: Simplify right side
    1,268.14x = 1,347,422.08
  5. Step 5: Solve for x
    x = 1,347,422.08/1,268.14
  6. Step 6: Final answer
    x = 1,062.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.