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Finding the Fourth Proportional to 712.53, 1,066.44 and 382.97

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Solution

The fourth proportional to 712.53, 1,066.44 and 382.97 is: 573.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.53 : 1,066.44 = 382.97 : x
  2. Step 2: Convert to fraction form
    712.53/1,066.44 = 382.97/x
  3. Step 3: Cross multiply
    712.53x = 1,066.44 × 382.97
  4. Step 4: Simplify right side
    712.53x = 408,414.53
  5. Step 5: Solve for x
    x = 408,414.53/712.53
  6. Step 6: Final answer
    x = 573.19

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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.