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Finding the Fourth Proportional to 712.26, 1,068.42 and 321.84

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Solution

The fourth proportional to 712.26, 1,068.42 and 321.84 is: 482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.26 : 1,068.42 = 321.84 : x
  2. Step 2: Convert to fraction form
    712.26/1,068.42 = 321.84/x
  3. Step 3: Cross multiply
    712.26x = 1,068.42 × 321.84
  4. Step 4: Simplify right side
    712.26x = 343,861.50
  5. Step 5: Solve for x
    x = 343,861.50/712.26
  6. Step 6: Final answer
    x = 482.78

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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.