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Finding the Fourth Proportional to 964.20, 1,446.12 and 477

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Solution

The fourth proportional to 964.20, 1,446.12 and 477 is: 715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.20 : 1,446.12 = 477 : x
  2. Step 2: Convert to fraction form
    964.20/1,446.12 = 477/x
  3. Step 3: Cross multiply
    964.20x = 1,446.12 × 477
  4. Step 4: Simplify right side
    964.20x = 689,799.24
  5. Step 5: Solve for x
    x = 689,799.24/964.20
  6. Step 6: Final answer
    x = 715.41

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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.