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Finding the Fourth Proportional to 1,172.25, 1,608.77 and 1,061.48

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Solution

The fourth proportional to 1,172.25, 1,608.77 and 1,061.48 is: 1,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.25 : 1,608.77 = 1,061.48 : x
  2. Step 2: Convert to fraction form
    1,172.25/1,608.77 = 1,061.48/x
  3. Step 3: Cross multiply
    1,172.25x = 1,608.77 × 1,061.48
  4. Step 4: Simplify right side
    1,172.25x = 1,707,674.53
  5. Step 5: Solve for x
    x = 1,707,674.53/1,172.25
  6. Step 6: Final answer
    x = 1,456.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.