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Finding the Fourth Proportional to 1,268.28, 1,749.06 and 826.02

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Solution

The fourth proportional to 1,268.28, 1,749.06 and 826.02 is: 1,139.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.28 : 1,749.06 = 826.02 : x
  2. Step 2: Convert to fraction form
    1,268.28/1,749.06 = 826.02/x
  3. Step 3: Cross multiply
    1,268.28x = 1,749.06 × 826.02
  4. Step 4: Simplify right side
    1,268.28x = 1,444,758.54
  5. Step 5: Solve for x
    x = 1,444,758.54/1,268.28
  6. Step 6: Final answer
    x = 1,139.15

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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.