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Finding the Fourth Proportional to 1,276.81, 1,913.36 and 727.83

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Solution

The fourth proportional to 1,276.81, 1,913.36 and 727.83 is: 1,090.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.81 : 1,913.36 = 727.83 : x
  2. Step 2: Convert to fraction form
    1,276.81/1,913.36 = 727.83/x
  3. Step 3: Cross multiply
    1,276.81x = 1,913.36 × 727.83
  4. Step 4: Simplify right side
    1,276.81x = 1,392,597.17
  5. Step 5: Solve for x
    x = 1,392,597.17/1,276.81
  6. Step 6: Final answer
    x = 1,090.69

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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.