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Finding the Fourth Proportional to 963.24, 1,446.24 and 501.36

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Solution

The fourth proportional to 963.24, 1,446.24 and 501.36 is: 752.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.24 : 1,446.24 = 501.36 : x
  2. Step 2: Convert to fraction form
    963.24/1,446.24 = 501.36/x
  3. Step 3: Cross multiply
    963.24x = 1,446.24 × 501.36
  4. Step 4: Simplify right side
    963.24x = 725,086.89
  5. Step 5: Solve for x
    x = 725,086.89/963.24
  6. Step 6: Final answer
    x = 752.76

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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.