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Finding the Fourth Proportional to 714.56, 1,071.82 and 252.34

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Solution

The fourth proportional to 714.56, 1,071.82 and 252.34 is: 378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.56 : 1,071.82 = 252.34 : x
  2. Step 2: Convert to fraction form
    714.56/1,071.82 = 252.34/x
  3. Step 3: Cross multiply
    714.56x = 1,071.82 × 252.34
  4. Step 4: Simplify right side
    714.56x = 270,463.06
  5. Step 5: Solve for x
    x = 270,463.06/714.56
  6. Step 6: Final answer
    x = 378.50

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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.