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Finding the Fourth Proportional to 963.77, 1,446.46 and 477.36

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Solution

The fourth proportional to 963.77, 1,446.46 and 477.36 is: 716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.77 : 1,446.46 = 477.36 : x
  2. Step 2: Convert to fraction form
    963.77/1,446.46 = 477.36/x
  3. Step 3: Cross multiply
    963.77x = 1,446.46 × 477.36
  4. Step 4: Simplify right side
    963.77x = 690,480.95
  5. Step 5: Solve for x
    x = 690,480.95/963.77
  6. Step 6: Final answer
    x = 716.44

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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.