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Finding the Fourth Proportional to 1,279.68, 1,919.22 and 457.92

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Solution

The fourth proportional to 1,279.68, 1,919.22 and 457.92 is: 686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.68 : 1,919.22 = 457.92 : x
  2. Step 2: Convert to fraction form
    1,279.68/1,919.22 = 457.92/x
  3. Step 3: Cross multiply
    1,279.68x = 1,919.22 × 457.92
  4. Step 4: Simplify right side
    1,279.68x = 878,849.22
  5. Step 5: Solve for x
    x = 878,849.22/1,279.68
  6. Step 6: Final answer
    x = 686.77

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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.