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Finding the Fourth Proportional to 1,293.73, 1,785.35 and 704.26

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Solution

The fourth proportional to 1,293.73, 1,785.35 and 704.26 is: 971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.73 : 1,785.35 = 704.26 : x
  2. Step 2: Convert to fraction form
    1,293.73/1,785.35 = 704.26/x
  3. Step 3: Cross multiply
    1,293.73x = 1,785.35 × 704.26
  4. Step 4: Simplify right side
    1,293.73x = 1,257,350.59
  5. Step 5: Solve for x
    x = 1,257,350.59/1,293.73
  6. Step 6: Final answer
    x = 971.88

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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.