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Finding the Fourth Proportional to 958.24, 1,322.42 and 538.68

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Solution

The fourth proportional to 958.24, 1,322.42 and 538.68 is: 743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.24 : 1,322.42 = 538.68 : x
  2. Step 2: Convert to fraction form
    958.24/1,322.42 = 538.68/x
  3. Step 3: Cross multiply
    958.24x = 1,322.42 × 538.68
  4. Step 4: Simplify right side
    958.24x = 712,361.21
  5. Step 5: Solve for x
    x = 712,361.21/958.24
  6. Step 6: Final answer
    x = 743.41

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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.