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Finding the Fourth Proportional to 1,278.28, 1,917.60 and 412.40

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Solution

The fourth proportional to 1,278.28, 1,917.60 and 412.40 is: 618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.28 : 1,917.60 = 412.40 : x
  2. Step 2: Convert to fraction form
    1,278.28/1,917.60 = 412.40/x
  3. Step 3: Cross multiply
    1,278.28x = 1,917.60 × 412.40
  4. Step 4: Simplify right side
    1,278.28x = 790,818.24
  5. Step 5: Solve for x
    x = 790,818.24/1,278.28
  6. Step 6: Final answer
    x = 618.66

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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.