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Finding the Fourth Proportional to 1,192.71, 1,645.91 and 661.59

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Solution

The fourth proportional to 1,192.71, 1,645.91 and 661.59 is: 912.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.71 : 1,645.91 = 661.59 : x
  2. Step 2: Convert to fraction form
    1,192.71/1,645.91 = 661.59/x
  3. Step 3: Cross multiply
    1,192.71x = 1,645.91 × 661.59
  4. Step 4: Simplify right side
    1,192.71x = 1,088,914.29
  5. Step 5: Solve for x
    x = 1,088,914.29/1,192.71
  6. Step 6: Final answer
    x = 912.97

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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.