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Finding the Fourth Proportional to 1,205.21, 1,806.82 and 588.26

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Solution

The fourth proportional to 1,205.21, 1,806.82 and 588.26 is: 881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.21 : 1,806.82 = 588.26 : x
  2. Step 2: Convert to fraction form
    1,205.21/1,806.82 = 588.26/x
  3. Step 3: Cross multiply
    1,205.21x = 1,806.82 × 588.26
  4. Step 4: Simplify right side
    1,205.21x = 1,062,879.93
  5. Step 5: Solve for x
    x = 1,062,879.93/1,205.21
  6. Step 6: Final answer
    x = 881.90

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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.