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Finding the Fourth Proportional to 1,161.25, 1,741.74 and 295.57

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Solution

The fourth proportional to 1,161.25, 1,741.74 and 295.57 is: 443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.25 : 1,741.74 = 295.57 : x
  2. Step 2: Convert to fraction form
    1,161.25/1,741.74 = 295.57/x
  3. Step 3: Cross multiply
    1,161.25x = 1,741.74 × 295.57
  4. Step 4: Simplify right side
    1,161.25x = 514,804.61
  5. Step 5: Solve for x
    x = 514,804.61/1,161.25
  6. Step 6: Final answer
    x = 443.32

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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.