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Finding the Fourth Proportional to 714.25, 1,071.21 and 251.92

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Solution

The fourth proportional to 714.25, 1,071.21 and 251.92 is: 377.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.25 : 1,071.21 = 251.92 : x
  2. Step 2: Convert to fraction form
    714.25/1,071.21 = 251.92/x
  3. Step 3: Cross multiply
    714.25x = 1,071.21 × 251.92
  4. Step 4: Simplify right side
    714.25x = 269,859.22
  5. Step 5: Solve for x
    x = 269,859.22/714.25
  6. Step 6: Final answer
    x = 377.82

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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.