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Finding the Fourth Proportional to 958.45, 1,322.68 and 538.79

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Solution

The fourth proportional to 958.45, 1,322.68 and 538.79 is: 743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.45 : 1,322.68 = 538.79 : x
  2. Step 2: Convert to fraction form
    958.45/1,322.68 = 538.79/x
  3. Step 3: Cross multiply
    958.45x = 1,322.68 × 538.79
  4. Step 4: Simplify right side
    958.45x = 712,647.48
  5. Step 5: Solve for x
    x = 712,647.48/958.45
  6. Step 6: Final answer
    x = 743.54

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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.