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Finding the Fourth Proportional to 1,185.13, 1,635.47 and 661.25

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Solution

The fourth proportional to 1,185.13, 1,635.47 and 661.25 is: 912.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.13 : 1,635.47 = 661.25 : x
  2. Step 2: Convert to fraction form
    1,185.13/1,635.47 = 661.25/x
  3. Step 3: Cross multiply
    1,185.13x = 1,635.47 × 661.25
  4. Step 4: Simplify right side
    1,185.13x = 1,081,451.23
  5. Step 5: Solve for x
    x = 1,081,451.23/1,185.13
  6. Step 6: Final answer
    x = 912.52

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Why These Related Problems?

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