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Finding the Fourth Proportional to 963.98, 1,446.42 and 501.52

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Solution

The fourth proportional to 963.98, 1,446.42 and 501.52 is: 752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.98 : 1,446.42 = 501.52 : x
  2. Step 2: Convert to fraction form
    963.98/1,446.42 = 501.52/x
  3. Step 3: Cross multiply
    963.98x = 1,446.42 × 501.52
  4. Step 4: Simplify right side
    963.98x = 725,401.33
  5. Step 5: Solve for x
    x = 725,401.33/963.98
  6. Step 6: Final answer
    x = 752.51

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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.