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Finding the Fourth Proportional to 714.09, 1,071.12 and 251.94

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Solution

The fourth proportional to 714.09, 1,071.12 and 251.94 is: 377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.09 : 1,071.12 = 251.94 : x
  2. Step 2: Convert to fraction form
    714.09/1,071.12 = 251.94/x
  3. Step 3: Cross multiply
    714.09x = 1,071.12 × 251.94
  4. Step 4: Simplify right side
    714.09x = 269,857.97
  5. Step 5: Solve for x
    x = 269,857.97/714.09
  6. Step 6: Final answer
    x = 377.90

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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.