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Finding the Fourth Proportional to 1,378.55, 2,067.64 and 454.01

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Solution

The fourth proportional to 1,378.55, 2,067.64 and 454.01 is: 680.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.55 : 2,067.64 = 454.01 : x
  2. Step 2: Convert to fraction form
    1,378.55/2,067.64 = 454.01/x
  3. Step 3: Cross multiply
    1,378.55x = 2,067.64 × 454.01
  4. Step 4: Simplify right side
    1,378.55x = 938,717.76
  5. Step 5: Solve for x
    x = 938,717.76/1,378.55
  6. Step 6: Final answer
    x = 680.94

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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.