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Finding the Fourth Proportional to 1,204.67, 1,806.91 and 555.41

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Solution

The fourth proportional to 1,204.67, 1,806.91 and 555.41 is: 833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.67 : 1,806.91 = 555.41 : x
  2. Step 2: Convert to fraction form
    1,204.67/1,806.91 = 555.41/x
  3. Step 3: Cross multiply
    1,204.67x = 1,806.91 × 555.41
  4. Step 4: Simplify right side
    1,204.67x = 1,003,568.85
  5. Step 5: Solve for x
    x = 1,003,568.85/1,204.67
  6. Step 6: Final answer
    x = 833.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.