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Finding the Fourth Proportional to 1,201.05, 1,792.89 and 1,055.25

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Solution

The fourth proportional to 1,201.05, 1,792.89 and 1,055.25 is: 1,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.05 : 1,792.89 = 1,055.25 : x
  2. Step 2: Convert to fraction form
    1,201.05/1,792.89 = 1,055.25/x
  3. Step 3: Cross multiply
    1,201.05x = 1,792.89 × 1,055.25
  4. Step 4: Simplify right side
    1,201.05x = 1,891,947.17
  5. Step 5: Solve for x
    x = 1,891,947.17/1,201.05
  6. Step 6: Final answer
    x = 1,575.24

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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.