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Finding the Fourth Proportional to 1,377.85, 2,067.08 and 440.78

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Solution

The fourth proportional to 1,377.85, 2,067.08 and 440.78 is: 661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.85 : 2,067.08 = 440.78 : x
  2. Step 2: Convert to fraction form
    1,377.85/2,067.08 = 440.78/x
  3. Step 3: Cross multiply
    1,377.85x = 2,067.08 × 440.78
  4. Step 4: Simplify right side
    1,377.85x = 911,127.52
  5. Step 5: Solve for x
    x = 911,127.52/1,377.85
  6. Step 6: Final answer
    x = 661.27

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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.