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Finding the Fourth Proportional to 958.36, 1,322.46 and 538.60

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Solution

The fourth proportional to 958.36, 1,322.46 and 538.60 is: 743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.36 : 1,322.46 = 538.60 : x
  2. Step 2: Convert to fraction form
    958.36/1,322.46 = 538.60/x
  3. Step 3: Cross multiply
    958.36x = 1,322.46 × 538.60
  4. Step 4: Simplify right side
    958.36x = 712,276.96
  5. Step 5: Solve for x
    x = 712,276.96/958.36
  6. Step 6: Final answer
    x = 743.22

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