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Finding the Fourth Proportional to 1,172.39, 1,753.30 and 894.83

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Solution

The fourth proportional to 1,172.39, 1,753.30 and 894.83 is: 1,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.39 : 1,753.30 = 894.83 : x
  2. Step 2: Convert to fraction form
    1,172.39/1,753.30 = 894.83/x
  3. Step 3: Cross multiply
    1,172.39x = 1,753.30 × 894.83
  4. Step 4: Simplify right side
    1,172.39x = 1,568,907.59
  5. Step 5: Solve for x
    x = 1,568,907.59/1,172.39
  6. Step 6: Final answer
    x = 1,338.21

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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.