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Finding the Fourth Proportional to 1,279.67, 1,919.09 and 457.72

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Solution

The fourth proportional to 1,279.67, 1,919.09 and 457.72 is: 686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.67 : 1,919.09 = 457.72 : x
  2. Step 2: Convert to fraction form
    1,279.67/1,919.09 = 457.72/x
  3. Step 3: Cross multiply
    1,279.67x = 1,919.09 × 457.72
  4. Step 4: Simplify right side
    1,279.67x = 878,402.22
  5. Step 5: Solve for x
    x = 878,402.22/1,279.67
  6. Step 6: Final answer
    x = 686.43

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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.