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Finding the Fourth Proportional to 712.62, 1,068.29 and 451.83

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Solution

The fourth proportional to 712.62, 1,068.29 and 451.83 is: 677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.62 : 1,068.29 = 451.83 : x
  2. Step 2: Convert to fraction form
    712.62/1,068.29 = 451.83/x
  3. Step 3: Cross multiply
    712.62x = 1,068.29 × 451.83
  4. Step 4: Simplify right side
    712.62x = 482,683.21
  5. Step 5: Solve for x
    x = 482,683.21/712.62
  6. Step 6: Final answer
    x = 677.34

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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.