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Finding the Fourth Proportional to 1,270.98, 1,750.06 and 1,112.73

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Solution

The fourth proportional to 1,270.98, 1,750.06 and 1,112.73 is: 1,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.98 : 1,750.06 = 1,112.73 : x
  2. Step 2: Convert to fraction form
    1,270.98/1,750.06 = 1,112.73/x
  3. Step 3: Cross multiply
    1,270.98x = 1,750.06 × 1,112.73
  4. Step 4: Simplify right side
    1,270.98x = 1,947,338.70
  5. Step 5: Solve for x
    x = 1,947,338.70/1,270.98
  6. Step 6: Final answer
    x = 1,532.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.