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Finding the Fourth Proportional to 1,202.37, 1,659.17 and 704.82

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Solution

The fourth proportional to 1,202.37, 1,659.17 and 704.82 is: 972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.37 : 1,659.17 = 704.82 : x
  2. Step 2: Convert to fraction form
    1,202.37/1,659.17 = 704.82/x
  3. Step 3: Cross multiply
    1,202.37x = 1,659.17 × 704.82
  4. Step 4: Simplify right side
    1,202.37x = 1,169,412.68
  5. Step 5: Solve for x
    x = 1,169,412.68/1,202.37
  6. Step 6: Final answer
    x = 972.59

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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.