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Finding the Fourth Proportional to 714.26, 1,072.00 and 281.72

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Solution

The fourth proportional to 714.26, 1,072.00 and 281.72 is: 422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.26 : 1,072.00 = 281.72 : x
  2. Step 2: Convert to fraction form
    714.26/1,072.00 = 281.72/x
  3. Step 3: Cross multiply
    714.26x = 1,072.00 × 281.72
  4. Step 4: Simplify right side
    714.26x = 302,005.82
  5. Step 5: Solve for x
    x = 302,005.82/714.26
  6. Step 6: Final answer
    x = 422.82

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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.