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Finding the Fourth Proportional to 1,253.05, 1,732.52 and 1,097.33

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Solution

The fourth proportional to 1,253.05, 1,732.52 and 1,097.33 is: 1,517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.05 : 1,732.52 = 1,097.33 : x
  2. Step 2: Convert to fraction form
    1,253.05/1,732.52 = 1,097.33/x
  3. Step 3: Cross multiply
    1,253.05x = 1,732.52 × 1,097.33
  4. Step 4: Simplify right side
    1,253.05x = 1,901,140.25
  5. Step 5: Solve for x
    x = 1,901,140.25/1,253.05
  6. Step 6: Final answer
    x = 1,517.21

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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.