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Finding the Fourth Proportional to 1,310.97, 1,965.07 and 488.73

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Solution

The fourth proportional to 1,310.97, 1,965.07 and 488.73 is: 732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.97 : 1,965.07 = 488.73 : x
  2. Step 2: Convert to fraction form
    1,310.97/1,965.07 = 488.73/x
  3. Step 3: Cross multiply
    1,310.97x = 1,965.07 × 488.73
  4. Step 4: Simplify right side
    1,310.97x = 960,388.66
  5. Step 5: Solve for x
    x = 960,388.66/1,310.97
  6. Step 6: Final answer
    x = 732.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.