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Finding the Fourth Proportional to 1,276.40, 1,914.08 and 454.48

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Solution

The fourth proportional to 1,276.40, 1,914.08 and 454.48 is: 681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.40 : 1,914.08 = 454.48 : x
  2. Step 2: Convert to fraction form
    1,276.40/1,914.08 = 454.48/x
  3. Step 3: Cross multiply
    1,276.40x = 1,914.08 × 454.48
  4. Step 4: Simplify right side
    1,276.40x = 869,911.08
  5. Step 5: Solve for x
    x = 869,911.08/1,276.40
  6. Step 6: Final answer
    x = 681.53

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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.