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Finding the Fourth Proportional to 1,192.57, 1,645.71 and 668.63

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Solution

The fourth proportional to 1,192.57, 1,645.71 and 668.63 is: 922.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.57 : 1,645.71 = 668.63 : x
  2. Step 2: Convert to fraction form
    1,192.57/1,645.71 = 668.63/x
  3. Step 3: Cross multiply
    1,192.57x = 1,645.71 × 668.63
  4. Step 4: Simplify right side
    1,192.57x = 1,100,371.08
  5. Step 5: Solve for x
    x = 1,100,371.08/1,192.57
  6. Step 6: Final answer
    x = 922.69

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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.