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Finding the Fourth Proportional to 966, 1,447.76 and 446

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Solution

The fourth proportional to 966, 1,447.76 and 446 is: 668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    966 : 1,447.76 = 446 : x
  2. Step 2: Convert to fraction form
    966/1,447.76 = 446/x
  3. Step 3: Cross multiply
    966x = 1,447.76 × 446
  4. Step 4: Simplify right side
    966x = 645,700.96
  5. Step 5: Solve for x
    x = 645,700.96/966
  6. Step 6: Final answer
    x = 668.43

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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.