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Finding the Fourth Proportional to 1,216.62, 1,824.66 and 567

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Solution

The fourth proportional to 1,216.62, 1,824.66 and 567 is: 850.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.62 : 1,824.66 = 567 : x
  2. Step 2: Convert to fraction form
    1,216.62/1,824.66 = 567/x
  3. Step 3: Cross multiply
    1,216.62x = 1,824.66 × 567
  4. Step 4: Simplify right side
    1,216.62x = 1,034,582.22
  5. Step 5: Solve for x
    x = 1,034,582.22/1,216.62
  6. Step 6: Final answer
    x = 850.37

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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.