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Finding the Fourth Proportional to 958.25, 1,322.29 and 538.53

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Solution

The fourth proportional to 958.25, 1,322.29 and 538.53 is: 743.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.25 : 1,322.29 = 538.53 : x
  2. Step 2: Convert to fraction form
    958.25/1,322.29 = 538.53/x
  3. Step 3: Cross multiply
    958.25x = 1,322.29 × 538.53
  4. Step 4: Simplify right side
    958.25x = 712,092.83
  5. Step 5: Solve for x
    x = 712,092.83/958.25
  6. Step 6: Final answer
    x = 743.12

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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.