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Finding the Fourth Proportional to 1,297.26, 1,790.20 and 707.78

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Solution

The fourth proportional to 1,297.26, 1,790.20 and 707.78 is: 976.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.26 : 1,790.20 = 707.78 : x
  2. Step 2: Convert to fraction form
    1,297.26/1,790.20 = 707.78/x
  3. Step 3: Cross multiply
    1,297.26x = 1,790.20 × 707.78
  4. Step 4: Simplify right side
    1,297.26x = 1,267,067.76
  5. Step 5: Solve for x
    x = 1,267,067.76/1,297.26
  6. Step 6: Final answer
    x = 976.73

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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.