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Finding the Fourth Proportional to 1,276.21, 1,914.58 and 454.48

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Solution

The fourth proportional to 1,276.21, 1,914.58 and 454.48 is: 681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.21 : 1,914.58 = 454.48 : x
  2. Step 2: Convert to fraction form
    1,276.21/1,914.58 = 454.48/x
  3. Step 3: Cross multiply
    1,276.21x = 1,914.58 × 454.48
  4. Step 4: Simplify right side
    1,276.21x = 870,132.40
  5. Step 5: Solve for x
    x = 870,132.40/1,276.21
  6. Step 6: Final answer
    x = 681.81

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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.