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Finding the Fourth Proportional to 960.81, 1,326.03 and 541.23

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Solution

The fourth proportional to 960.81, 1,326.03 and 541.23 is: 746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.81 : 1,326.03 = 541.23 : x
  2. Step 2: Convert to fraction form
    960.81/1,326.03 = 541.23/x
  3. Step 3: Cross multiply
    960.81x = 1,326.03 × 541.23
  4. Step 4: Simplify right side
    960.81x = 717,687.22
  5. Step 5: Solve for x
    x = 717,687.22/960.81
  6. Step 6: Final answer
    x = 746.96

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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.