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Finding the Fourth Proportional to 1,268.91, 1,751.58 and 826.92

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Solution

The fourth proportional to 1,268.91, 1,751.58 and 826.92 is: 1,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.91 : 1,751.58 = 826.92 : x
  2. Step 2: Convert to fraction form
    1,268.91/1,751.58 = 826.92/x
  3. Step 3: Cross multiply
    1,268.91x = 1,751.58 × 826.92
  4. Step 4: Simplify right side
    1,268.91x = 1,448,416.53
  5. Step 5: Solve for x
    x = 1,448,416.53/1,268.91
  6. Step 6: Final answer
    x = 1,141.47

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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.