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Finding the Fourth Proportional to 1,274.81, 1,911.39 and 726.23

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Solution

The fourth proportional to 1,274.81, 1,911.39 and 726.23 is: 1,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.81 : 1,911.39 = 726.23 : x
  2. Step 2: Convert to fraction form
    1,274.81/1,911.39 = 726.23/x
  3. Step 3: Cross multiply
    1,274.81x = 1,911.39 × 726.23
  4. Step 4: Simplify right side
    1,274.81x = 1,388,099.20
  5. Step 5: Solve for x
    x = 1,388,099.20/1,274.81
  6. Step 6: Final answer
    x = 1,088.87

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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.