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Finding the Fourth Proportional to 958.56, 1,322.82 and 538.90

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Solution

The fourth proportional to 958.56, 1,322.82 and 538.90 is: 743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.56 : 1,322.82 = 538.90 : x
  2. Step 2: Convert to fraction form
    958.56/1,322.82 = 538.90/x
  3. Step 3: Cross multiply
    958.56x = 1,322.82 × 538.90
  4. Step 4: Simplify right side
    958.56x = 712,867.70
  5. Step 5: Solve for x
    x = 712,867.70/958.56
  6. Step 6: Final answer
    x = 743.69

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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.