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Finding the Fourth Proportional to 714.82, 1,072.10 and 281.88

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Solution

The fourth proportional to 714.82, 1,072.10 and 281.88 is: 422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.82 : 1,072.10 = 281.88 : x
  2. Step 2: Convert to fraction form
    714.82/1,072.10 = 281.88/x
  3. Step 3: Cross multiply
    714.82x = 1,072.10 × 281.88
  4. Step 4: Simplify right side
    714.82x = 302,203.55
  5. Step 5: Solve for x
    x = 302,203.55/714.82
  6. Step 6: Final answer
    x = 422.77

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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.