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Finding the Fourth Proportional to 1,024.75, 1,537.13 and 255.25

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Solution

The fourth proportional to 1,024.75, 1,537.13 and 255.25 is: 382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.75 : 1,537.13 = 255.25 : x
  2. Step 2: Convert to fraction form
    1,024.75/1,537.13 = 255.25/x
  3. Step 3: Cross multiply
    1,024.75x = 1,537.13 × 255.25
  4. Step 4: Simplify right side
    1,024.75x = 392,351.16
  5. Step 5: Solve for x
    x = 392,351.16/1,024.75
  6. Step 6: Final answer
    x = 382.88

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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.