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Finding the Fourth Proportional to 714.83, 1,072.17 and 252.59

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Solution

The fourth proportional to 714.83, 1,072.17 and 252.59 is: 378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.83 : 1,072.17 = 252.59 : x
  2. Step 2: Convert to fraction form
    714.83/1,072.17 = 252.59/x
  3. Step 3: Cross multiply
    714.83x = 1,072.17 × 252.59
  4. Step 4: Simplify right side
    714.83x = 270,814.06
  5. Step 5: Solve for x
    x = 270,814.06/714.83
  6. Step 6: Final answer
    x = 378.85

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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.