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Finding the Fourth Proportional to 1,268.41, 1,749.32 and 826.15

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Solution

The fourth proportional to 1,268.41, 1,749.32 and 826.15 is: 1,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.41 : 1,749.32 = 826.15 : x
  2. Step 2: Convert to fraction form
    1,268.41/1,749.32 = 826.15/x
  3. Step 3: Cross multiply
    1,268.41x = 1,749.32 × 826.15
  4. Step 4: Simplify right side
    1,268.41x = 1,445,196.59
  5. Step 5: Solve for x
    x = 1,445,196.59/1,268.41
  6. Step 6: Final answer
    x = 1,139.38

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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.