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Finding the Fourth Proportional to 1,350.09, 2,022.71 and 771.75

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Solution

The fourth proportional to 1,350.09, 2,022.71 and 771.75 is: 1,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.09 : 2,022.71 = 771.75 : x
  2. Step 2: Convert to fraction form
    1,350.09/2,022.71 = 771.75/x
  3. Step 3: Cross multiply
    1,350.09x = 2,022.71 × 771.75
  4. Step 4: Simplify right side
    1,350.09x = 1,561,022.58
  5. Step 5: Solve for x
    x = 1,561,022.58/1,350.09
  6. Step 6: Final answer
    x = 1,156.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.