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Finding the Fourth Proportional to 1,024.69, 1,537.05 and 255.19

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Solution

The fourth proportional to 1,024.69, 1,537.05 and 255.19 is: 382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.69 : 1,537.05 = 255.19 : x
  2. Step 2: Convert to fraction form
    1,024.69/1,537.05 = 255.19/x
  3. Step 3: Cross multiply
    1,024.69x = 1,537.05 × 255.19
  4. Step 4: Simplify right side
    1,024.69x = 392,239.79
  5. Step 5: Solve for x
    x = 392,239.79/1,024.69
  6. Step 6: Final answer
    x = 382.79

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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.