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Finding the Fourth Proportional to 960.52, 1,439.66 and 527.96

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Solution

The fourth proportional to 960.52, 1,439.66 and 527.96 is: 791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.52 : 1,439.66 = 527.96 : x
  2. Step 2: Convert to fraction form
    960.52/1,439.66 = 527.96/x
  3. Step 3: Cross multiply
    960.52x = 1,439.66 × 527.96
  4. Step 4: Simplify right side
    960.52x = 760,082.89
  5. Step 5: Solve for x
    x = 760,082.89/960.52
  6. Step 6: Final answer
    x = 791.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.