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Finding the Fourth Proportional to 958.23, 1,322.31 and 538.60

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Solution

The fourth proportional to 958.23, 1,322.31 and 538.60 is: 743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.23 : 1,322.31 = 538.60 : x
  2. Step 2: Convert to fraction form
    958.23/1,322.31 = 538.60/x
  3. Step 3: Cross multiply
    958.23x = 1,322.31 × 538.60
  4. Step 4: Simplify right side
    958.23x = 712,190.84
  5. Step 5: Solve for x
    x = 712,190.84/958.23
  6. Step 6: Final answer
    x = 743.24

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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.