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Finding the Fourth Proportional to 1,034.74, 1,552.09 and 254.75

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Solution

The fourth proportional to 1,034.74, 1,552.09 and 254.75 is: 382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.74 : 1,552.09 = 254.75 : x
  2. Step 2: Convert to fraction form
    1,034.74/1,552.09 = 254.75/x
  3. Step 3: Cross multiply
    1,034.74x = 1,552.09 × 254.75
  4. Step 4: Simplify right side
    1,034.74x = 395,394.93
  5. Step 5: Solve for x
    x = 395,394.93/1,034.74
  6. Step 6: Final answer
    x = 382.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.