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Finding the Fourth Proportional to 1,217.22, 1,825.56 and 550.32

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Solution

The fourth proportional to 1,217.22, 1,825.56 and 550.32 is: 825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.22 : 1,825.56 = 550.32 : x
  2. Step 2: Convert to fraction form
    1,217.22/1,825.56 = 550.32/x
  3. Step 3: Cross multiply
    1,217.22x = 1,825.56 × 550.32
  4. Step 4: Simplify right side
    1,217.22x = 1,004,642.18
  5. Step 5: Solve for x
    x = 1,004,642.18/1,217.22
  6. Step 6: Final answer
    x = 825.36

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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.