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Finding the Fourth Proportional to 1,276.36, 1,914.88 and 454.68

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Solution

The fourth proportional to 1,276.36, 1,914.88 and 454.68 is: 682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.36 : 1,914.88 = 454.68 : x
  2. Step 2: Convert to fraction form
    1,276.36/1,914.88 = 454.68/x
  3. Step 3: Cross multiply
    1,276.36x = 1,914.88 × 454.68
  4. Step 4: Simplify right side
    1,276.36x = 870,657.64
  5. Step 5: Solve for x
    x = 870,657.64/1,276.36
  6. Step 6: Final answer
    x = 682.14

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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.