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Finding the Fourth Proportional to 1,276.46, 1,914.28 and 496.40

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Solution

The fourth proportional to 1,276.46, 1,914.28 and 496.40 is: 744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.46 : 1,914.28 = 496.40 : x
  2. Step 2: Convert to fraction form
    1,276.46/1,914.28 = 496.40/x
  3. Step 3: Cross multiply
    1,276.46x = 1,914.28 × 496.40
  4. Step 4: Simplify right side
    1,276.46x = 950,252.14
  5. Step 5: Solve for x
    x = 950,252.14/1,276.46
  6. Step 6: Final answer
    x = 744.45

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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.