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Finding the Fourth Proportional to 1,274.92, 1,914.30 and 727.72

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Solution

The fourth proportional to 1,274.92, 1,914.30 and 727.72 is: 1,092.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.92 : 1,914.30 = 727.72 : x
  2. Step 2: Convert to fraction form
    1,274.92/1,914.30 = 727.72/x
  3. Step 3: Cross multiply
    1,274.92x = 1,914.30 × 727.72
  4. Step 4: Simplify right side
    1,274.92x = 1,393,074.40
  5. Step 5: Solve for x
    x = 1,393,074.40/1,274.92
  6. Step 6: Final answer
    x = 1,092.68

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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.