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Finding the Fourth Proportional to 1,274.96, 1,760.49 and 803.61

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Solution

The fourth proportional to 1,274.96, 1,760.49 and 803.61 is: 1,109.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.96 : 1,760.49 = 803.61 : x
  2. Step 2: Convert to fraction form
    1,274.96/1,760.49 = 803.61/x
  3. Step 3: Cross multiply
    1,274.96x = 1,760.49 × 803.61
  4. Step 4: Simplify right side
    1,274.96x = 1,414,747.37
  5. Step 5: Solve for x
    x = 1,414,747.37/1,274.96
  6. Step 6: Final answer
    x = 1,109.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.