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Finding the Fourth Proportional to 1,192.50, 1,645.67 and 661.36

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Solution

The fourth proportional to 1,192.50, 1,645.67 and 661.36 is: 912.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.50 : 1,645.67 = 661.36 : x
  2. Step 2: Convert to fraction form
    1,192.50/1,645.67 = 661.36/x
  3. Step 3: Cross multiply
    1,192.50x = 1,645.67 × 661.36
  4. Step 4: Simplify right side
    1,192.50x = 1,088,380.31
  5. Step 5: Solve for x
    x = 1,088,380.31/1,192.50
  6. Step 6: Final answer
    x = 912.69

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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.