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Finding the Fourth Proportional to 714.10, 1,072.17 and 406.57

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Solution

The fourth proportional to 714.10, 1,072.17 and 406.57 is: 610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.10 : 1,072.17 = 406.57 : x
  2. Step 2: Convert to fraction form
    714.10/1,072.17 = 406.57/x
  3. Step 3: Cross multiply
    714.10x = 1,072.17 × 406.57
  4. Step 4: Simplify right side
    714.10x = 435,904.76
  5. Step 5: Solve for x
    x = 435,904.76/714.10
  6. Step 6: Final answer
    x = 610.43

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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.