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Finding the Fourth Proportional to 958.11, 1,322.08 and 538.37

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Solution

The fourth proportional to 958.11, 1,322.08 and 538.37 is: 742.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.11 : 1,322.08 = 538.37 : x
  2. Step 2: Convert to fraction form
    958.11/1,322.08 = 538.37/x
  3. Step 3: Cross multiply
    958.11x = 1,322.08 × 538.37
  4. Step 4: Simplify right side
    958.11x = 711,768.21
  5. Step 5: Solve for x
    x = 711,768.21/958.11
  6. Step 6: Final answer
    x = 742.89

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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.