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Finding the Fourth Proportional to 714.72, 1,072.09 and 252.50

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Solution

The fourth proportional to 714.72, 1,072.09 and 252.50 is: 378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.72 : 1,072.09 = 252.50 : x
  2. Step 2: Convert to fraction form
    714.72/1,072.09 = 252.50/x
  3. Step 3: Cross multiply
    714.72x = 1,072.09 × 252.50
  4. Step 4: Simplify right side
    714.72x = 270,702.73
  5. Step 5: Solve for x
    x = 270,702.73/714.72
  6. Step 6: Final answer
    x = 378.75

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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.