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Finding the Fourth Proportional to 964.63, 1,446.51 and 477.49

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Solution

The fourth proportional to 964.63, 1,446.51 and 477.49 is: 716.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.63 : 1,446.51 = 477.49 : x
  2. Step 2: Convert to fraction form
    964.63/1,446.51 = 477.49/x
  3. Step 3: Cross multiply
    964.63x = 1,446.51 × 477.49
  4. Step 4: Simplify right side
    964.63x = 690,694.06
  5. Step 5: Solve for x
    x = 690,694.06/964.63
  6. Step 6: Final answer
    x = 716.02

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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.