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Finding the Fourth Proportional to 1,279.68, 1,919.25 and 457.94

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Solution

The fourth proportional to 1,279.68, 1,919.25 and 457.94 is: 686.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.68 : 1,919.25 = 457.94 : x
  2. Step 2: Convert to fraction form
    1,279.68/1,919.25 = 457.94/x
  3. Step 3: Cross multiply
    1,279.68x = 1,919.25 × 457.94
  4. Step 4: Simplify right side
    1,279.68x = 878,891.75
  5. Step 5: Solve for x
    x = 878,891.75/1,279.68
  6. Step 6: Final answer
    x = 686.81

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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.