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Finding the Fourth Proportional to 1,216.75, 1,824.31 and 567.13

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Solution

The fourth proportional to 1,216.75, 1,824.31 and 567.13 is: 850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.75 : 1,824.31 = 567.13 : x
  2. Step 2: Convert to fraction form
    1,216.75/1,824.31 = 567.13/x
  3. Step 3: Cross multiply
    1,216.75x = 1,824.31 × 567.13
  4. Step 4: Simplify right side
    1,216.75x = 1,034,620.93
  5. Step 5: Solve for x
    x = 1,034,620.93/1,216.75
  6. Step 6: Final answer
    x = 850.32

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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.