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Finding the Fourth Proportional to 958.43, 1,322.51 and 538.77

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Solution

The fourth proportional to 958.43, 1,322.51 and 538.77 is: 743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.43 : 1,322.51 = 538.77 : x
  2. Step 2: Convert to fraction form
    958.43/1,322.51 = 538.77/x
  3. Step 3: Cross multiply
    958.43x = 1,322.51 × 538.77
  4. Step 4: Simplify right side
    958.43x = 712,526.57
  5. Step 5: Solve for x
    x = 712,526.57/958.43
  6. Step 6: Final answer
    x = 743.43

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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.