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Finding the Fourth Proportional to 963.86, 1,446.51 and 451.22

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Solution

The fourth proportional to 963.86, 1,446.51 and 451.22 is: 677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.86 : 1,446.51 = 451.22 : x
  2. Step 2: Convert to fraction form
    963.86/1,446.51 = 451.22/x
  3. Step 3: Cross multiply
    963.86x = 1,446.51 × 451.22
  4. Step 4: Simplify right side
    963.86x = 652,694.24
  5. Step 5: Solve for x
    x = 652,694.24/963.86
  6. Step 6: Final answer
    x = 677.17

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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.