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Finding the Fourth Proportional to 1,190.73, 1,643.17 and 659.63

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Solution

The fourth proportional to 1,190.73, 1,643.17 and 659.63 is: 910.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.73 : 1,643.17 = 659.63 : x
  2. Step 2: Convert to fraction form
    1,190.73/1,643.17 = 659.63/x
  3. Step 3: Cross multiply
    1,190.73x = 1,643.17 × 659.63
  4. Step 4: Simplify right side
    1,190.73x = 1,083,884.23
  5. Step 5: Solve for x
    x = 1,083,884.23/1,190.73
  6. Step 6: Final answer
    x = 910.27

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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.