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Finding the Fourth Proportional to 960.96, 1,326.09 and 541.34

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Solution

The fourth proportional to 960.96, 1,326.09 and 541.34 is: 747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.96 : 1,326.09 = 541.34 : x
  2. Step 2: Convert to fraction form
    960.96/1,326.09 = 541.34/x
  3. Step 3: Cross multiply
    960.96x = 1,326.09 × 541.34
  4. Step 4: Simplify right side
    960.96x = 717,858.93
  5. Step 5: Solve for x
    x = 717,858.93/960.96
  6. Step 6: Final answer
    x = 747.02

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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.