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Finding the Fourth Proportional to 1,279.97, 1,920.84 and 499.97

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Solution

The fourth proportional to 1,279.97, 1,920.84 and 499.97 is: 750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.97 : 1,920.84 = 499.97 : x
  2. Step 2: Convert to fraction form
    1,279.97/1,920.84 = 499.97/x
  3. Step 3: Cross multiply
    1,279.97x = 1,920.84 × 499.97
  4. Step 4: Simplify right side
    1,279.97x = 960,365.30
  5. Step 5: Solve for x
    x = 960,365.30/1,279.97
  6. Step 6: Final answer
    x = 750.30

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