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Finding the Fourth Proportional to 1,276.28, 1,914.55 and 496.35

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Solution

The fourth proportional to 1,276.28, 1,914.55 and 496.35 is: 744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.28 : 1,914.55 = 496.35 : x
  2. Step 2: Convert to fraction form
    1,276.28/1,914.55 = 496.35/x
  3. Step 3: Cross multiply
    1,276.28x = 1,914.55 × 496.35
  4. Step 4: Simplify right side
    1,276.28x = 950,278.47
  5. Step 5: Solve for x
    x = 950,278.47/1,276.28
  6. Step 6: Final answer
    x = 744.57

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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.