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Finding the Fourth Proportional to 1,192.27, 1,645.26 and 661.12

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Solution

The fourth proportional to 1,192.27, 1,645.26 and 661.12 is: 912.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.27 : 1,645.26 = 661.12 : x
  2. Step 2: Convert to fraction form
    1,192.27/1,645.26 = 661.12/x
  3. Step 3: Cross multiply
    1,192.27x = 1,645.26 × 661.12
  4. Step 4: Simplify right side
    1,192.27x = 1,087,714.29
  5. Step 5: Solve for x
    x = 1,087,714.29/1,192.27
  6. Step 6: Final answer
    x = 912.31

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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.