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Finding the Fourth Proportional to 1,222.12, 1,833.26 and 605.66

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Solution

The fourth proportional to 1,222.12, 1,833.26 and 605.66 is: 908.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.12 : 1,833.26 = 605.66 : x
  2. Step 2: Convert to fraction form
    1,222.12/1,833.26 = 605.66/x
  3. Step 3: Cross multiply
    1,222.12x = 1,833.26 × 605.66
  4. Step 4: Simplify right side
    1,222.12x = 1,110,320.06
  5. Step 5: Solve for x
    x = 1,110,320.06/1,222.12
  6. Step 6: Final answer
    x = 908.52

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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.