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Finding the Fourth Proportional to 1,279.38, 1,919.43 and 457.77

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Solution

The fourth proportional to 1,279.38, 1,919.43 and 457.77 is: 686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.38 : 1,919.43 = 457.77 : x
  2. Step 2: Convert to fraction form
    1,279.38/1,919.43 = 457.77/x
  3. Step 3: Cross multiply
    1,279.38x = 1,919.43 × 457.77
  4. Step 4: Simplify right side
    1,279.38x = 878,657.47
  5. Step 5: Solve for x
    x = 878,657.47/1,279.38
  6. Step 6: Final answer
    x = 686.78

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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.