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Finding the Fourth Proportional to 958.01, 1,321.94 and 538.31

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Solution

The fourth proportional to 958.01, 1,321.94 and 538.31 is: 742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.01 : 1,321.94 = 538.31 : x
  2. Step 2: Convert to fraction form
    958.01/1,321.94 = 538.31/x
  3. Step 3: Cross multiply
    958.01x = 1,321.94 × 538.31
  4. Step 4: Simplify right side
    958.01x = 711,618.17
  5. Step 5: Solve for x
    x = 711,618.17/958.01
  6. Step 6: Final answer
    x = 742.81

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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.