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Finding the Fourth Proportional to 1,279.17, 1,917.54 and 412.88

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Solution

The fourth proportional to 1,279.17, 1,917.54 and 412.88 is: 618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.17 : 1,917.54 = 412.88 : x
  2. Step 2: Convert to fraction form
    1,279.17/1,917.54 = 412.88/x
  3. Step 3: Cross multiply
    1,279.17x = 1,917.54 × 412.88
  4. Step 4: Simplify right side
    1,279.17x = 791,704.33
  5. Step 5: Solve for x
    x = 791,704.33/1,279.17
  6. Step 6: Final answer
    x = 618.92

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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.