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Finding the Fourth Proportional to 714.24, 1,072.31 and 406.64

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Solution

The fourth proportional to 714.24, 1,072.31 and 406.64 is: 610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.24 : 1,072.31 = 406.64 : x
  2. Step 2: Convert to fraction form
    714.24/1,072.31 = 406.64/x
  3. Step 3: Cross multiply
    714.24x = 1,072.31 × 406.64
  4. Step 4: Simplify right side
    714.24x = 436,044.79
  5. Step 5: Solve for x
    x = 436,044.79/714.24
  6. Step 6: Final answer
    x = 610.50

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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.