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Finding the Fourth Proportional to 1,216.26, 1,824.07 and 523.10

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Solution

The fourth proportional to 1,216.26, 1,824.07 and 523.10 is: 784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.26 : 1,824.07 = 523.10 : x
  2. Step 2: Convert to fraction form
    1,216.26/1,824.07 = 523.10/x
  3. Step 3: Cross multiply
    1,216.26x = 1,824.07 × 523.10
  4. Step 4: Simplify right side
    1,216.26x = 954,171.02
  5. Step 5: Solve for x
    x = 954,171.02/1,216.26
  6. Step 6: Final answer
    x = 784.51

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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.