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Finding the Fourth Proportional to 1,222.67, 1,833.45 and 389.49

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Solution

The fourth proportional to 1,222.67, 1,833.45 and 389.49 is: 584.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.67 : 1,833.45 = 389.49 : x
  2. Step 2: Convert to fraction form
    1,222.67/1,833.45 = 389.49/x
  3. Step 3: Cross multiply
    1,222.67x = 1,833.45 × 389.49
  4. Step 4: Simplify right side
    1,222.67x = 714,110.44
  5. Step 5: Solve for x
    x = 714,110.44/1,222.67
  6. Step 6: Final answer
    x = 584.06

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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.