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Finding the Fourth Proportional to 960.31, 1,325.23 and 540.67

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Solution

The fourth proportional to 960.31, 1,325.23 and 540.67 is: 746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.31 : 1,325.23 = 540.67 : x
  2. Step 2: Convert to fraction form
    960.31/1,325.23 = 540.67/x
  3. Step 3: Cross multiply
    960.31x = 1,325.23 × 540.67
  4. Step 4: Simplify right side
    960.31x = 716,502.77
  5. Step 5: Solve for x
    x = 716,502.77/960.31
  6. Step 6: Final answer
    x = 746.12

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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.