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Finding the Fourth Proportional to 1,290.75, 1,779.57 and 1,054.45

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Solution

The fourth proportional to 1,290.75, 1,779.57 and 1,054.45 is: 1,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.75 : 1,779.57 = 1,054.45 : x
  2. Step 2: Convert to fraction form
    1,290.75/1,779.57 = 1,054.45/x
  3. Step 3: Cross multiply
    1,290.75x = 1,779.57 × 1,054.45
  4. Step 4: Simplify right side
    1,290.75x = 1,876,467.59
  5. Step 5: Solve for x
    x = 1,876,467.59/1,290.75
  6. Step 6: Final answer
    x = 1,453.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.