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Finding the Fourth Proportional to 1,025.74, 1,537.98 and 408.73

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Solution

The fourth proportional to 1,025.74, 1,537.98 and 408.73 is: 612.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.74 : 1,537.98 = 408.73 : x
  2. Step 2: Convert to fraction form
    1,025.74/1,537.98 = 408.73/x
  3. Step 3: Cross multiply
    1,025.74x = 1,537.98 × 408.73
  4. Step 4: Simplify right side
    1,025.74x = 628,618.57
  5. Step 5: Solve for x
    x = 628,618.57/1,025.74
  6. Step 6: Final answer
    x = 612.84

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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.