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Finding the Fourth Proportional to 1,297.80, 1,790.88 and 738.27

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Solution

The fourth proportional to 1,297.80, 1,790.88 and 738.27 is: 1,018.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.80 : 1,790.88 = 738.27 : x
  2. Step 2: Convert to fraction form
    1,297.80/1,790.88 = 738.27/x
  3. Step 3: Cross multiply
    1,297.80x = 1,790.88 × 738.27
  4. Step 4: Simplify right side
    1,297.80x = 1,322,152.98
  5. Step 5: Solve for x
    x = 1,322,152.98/1,297.80
  6. Step 6: Final answer
    x = 1,018.76

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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.