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Finding the Fourth Proportional to 1,185.25, 1,635.54 and 661.27

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Solution

The fourth proportional to 1,185.25, 1,635.54 and 661.27 is: 912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.25 : 1,635.54 = 661.27 : x
  2. Step 2: Convert to fraction form
    1,185.25/1,635.54 = 661.27/x
  3. Step 3: Cross multiply
    1,185.25x = 1,635.54 × 661.27
  4. Step 4: Simplify right side
    1,185.25x = 1,081,533.54
  5. Step 5: Solve for x
    x = 1,081,533.54/1,185.25
  6. Step 6: Final answer
    x = 912.49

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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.