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Finding the Fourth Proportional to 1,276.11, 1,914.12 and 454.38

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Solution

The fourth proportional to 1,276.11, 1,914.12 and 454.38 is: 681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.11 : 1,914.12 = 454.38 : x
  2. Step 2: Convert to fraction form
    1,276.11/1,914.12 = 454.38/x
  3. Step 3: Cross multiply
    1,276.11x = 1,914.12 × 454.38
  4. Step 4: Simplify right side
    1,276.11x = 869,737.85
  5. Step 5: Solve for x
    x = 869,737.85/1,276.11
  6. Step 6: Final answer
    x = 681.55

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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.