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Finding the Fourth Proportional to 712.34, 1,068.31 and 451.95

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Solution

The fourth proportional to 712.34, 1,068.31 and 451.95 is: 677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.34 : 1,068.31 = 451.95 : x
  2. Step 2: Convert to fraction form
    712.34/1,068.31 = 451.95/x
  3. Step 3: Cross multiply
    712.34x = 1,068.31 × 451.95
  4. Step 4: Simplify right side
    712.34x = 482,819.26
  5. Step 5: Solve for x
    x = 482,819.26/712.34
  6. Step 6: Final answer
    x = 677.79

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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.