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Finding the Fourth Proportional to 957.22, 1,435.86 and 408.85

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Solution

The fourth proportional to 957.22, 1,435.86 and 408.85 is: 613.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.22 : 1,435.86 = 408.85 : x
  2. Step 2: Convert to fraction form
    957.22/1,435.86 = 408.85/x
  3. Step 3: Cross multiply
    957.22x = 1,435.86 × 408.85
  4. Step 4: Simplify right side
    957.22x = 587,047.77
  5. Step 5: Solve for x
    x = 587,047.77/957.22
  6. Step 6: Final answer
    x = 613.29

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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.