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Finding the Fourth Proportional to 714.06, 1,071.25 and 251.85

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Solution

The fourth proportional to 714.06, 1,071.25 and 251.85 is: 377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.06 : 1,071.25 = 251.85 : x
  2. Step 2: Convert to fraction form
    714.06/1,071.25 = 251.85/x
  3. Step 3: Cross multiply
    714.06x = 1,071.25 × 251.85
  4. Step 4: Simplify right side
    714.06x = 269,797.70
  5. Step 5: Solve for x
    x = 269,797.70/714.06
  6. Step 6: Final answer
    x = 377.84

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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.