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Finding the Fourth Proportional to 1,278.29, 1,917.74 and 412.61

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Solution

The fourth proportional to 1,278.29, 1,917.74 and 412.61 is: 619.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.29 : 1,917.74 = 412.61 : x
  2. Step 2: Convert to fraction form
    1,278.29/1,917.74 = 412.61/x
  3. Step 3: Cross multiply
    1,278.29x = 1,917.74 × 412.61
  4. Step 4: Simplify right side
    1,278.29x = 791,270.14
  5. Step 5: Solve for x
    x = 791,270.14/1,278.29
  6. Step 6: Final answer
    x = 619.01

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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.