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Finding the Fourth Proportional to 1,276.44, 1,914.42 and 729.24

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Solution

The fourth proportional to 1,276.44, 1,914.42 and 729.24 is: 1,093.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.44 : 1,914.42 = 729.24 : x
  2. Step 2: Convert to fraction form
    1,276.44/1,914.42 = 729.24/x
  3. Step 3: Cross multiply
    1,276.44x = 1,914.42 × 729.24
  4. Step 4: Simplify right side
    1,276.44x = 1,396,071.64
  5. Step 5: Solve for x
    x = 1,396,071.64/1,276.44
  6. Step 6: Final answer
    x = 1,093.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.