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Finding the Fourth Proportional to 1,152.98, 1,721.26 and 1,112.48

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Solution

The fourth proportional to 1,152.98, 1,721.26 and 1,112.48 is: 1,660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.98 : 1,721.26 = 1,112.48 : x
  2. Step 2: Convert to fraction form
    1,152.98/1,721.26 = 1,112.48/x
  3. Step 3: Cross multiply
    1,152.98x = 1,721.26 × 1,112.48
  4. Step 4: Simplify right side
    1,152.98x = 1,914,867.32
  5. Step 5: Solve for x
    x = 1,914,867.32/1,152.98
  6. Step 6: Final answer
    x = 1,660.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.