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Finding the Fourth Proportional to 1,162.23, 1,741.25 and 771.31

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Solution

The fourth proportional to 1,162.23, 1,741.25 and 771.31 is: 1,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.23 : 1,741.25 = 771.31 : x
  2. Step 2: Convert to fraction form
    1,162.23/1,741.25 = 771.31/x
  3. Step 3: Cross multiply
    1,162.23x = 1,741.25 × 771.31
  4. Step 4: Simplify right side
    1,162.23x = 1,343,043.54
  5. Step 5: Solve for x
    x = 1,343,043.54/1,162.23
  6. Step 6: Final answer
    x = 1,155.57

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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.