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Finding the Fourth Proportional to 1,279.59, 1,919.79 and 457.85

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Solution

The fourth proportional to 1,279.59, 1,919.79 and 457.85 is: 686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.59 : 1,919.79 = 457.85 : x
  2. Step 2: Convert to fraction form
    1,279.59/1,919.79 = 457.85/x
  3. Step 3: Cross multiply
    1,279.59x = 1,919.79 × 457.85
  4. Step 4: Simplify right side
    1,279.59x = 878,975.85
  5. Step 5: Solve for x
    x = 878,975.85/1,279.59
  6. Step 6: Final answer
    x = 686.92

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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.