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Finding the Fourth Proportional to 816.28, 1,224.36 and 726

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Solution

The fourth proportional to 816.28, 1,224.36 and 726 is: 1,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.28 : 1,224.36 = 726 : x
  2. Step 2: Convert to fraction form
    816.28/1,224.36 = 726/x
  3. Step 3: Cross multiply
    816.28x = 1,224.36 × 726
  4. Step 4: Simplify right side
    816.28x = 888,885.36
  5. Step 5: Solve for x
    x = 888,885.36/816.28
  6. Step 6: Final answer
    x = 1,088.95

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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.