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Finding the Fourth Proportional to 958.62, 1,322.85 and 538.92

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Solution

The fourth proportional to 958.62, 1,322.85 and 538.92 is: 743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.62 : 1,322.85 = 538.92 : x
  2. Step 2: Convert to fraction form
    958.62/1,322.85 = 538.92/x
  3. Step 3: Cross multiply
    958.62x = 1,322.85 × 538.92
  4. Step 4: Simplify right side
    958.62x = 712,910.32
  5. Step 5: Solve for x
    x = 712,910.32/958.62
  6. Step 6: Final answer
    x = 743.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.