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Finding the Fourth Proportional to 946.68, 1,420.96 and 622.28

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Solution

The fourth proportional to 946.68, 1,420.96 and 622.28 is: 934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.68 : 1,420.96 = 622.28 : x
  2. Step 2: Convert to fraction form
    946.68/1,420.96 = 622.28/x
  3. Step 3: Cross multiply
    946.68x = 1,420.96 × 622.28
  4. Step 4: Simplify right side
    946.68x = 884,234.99
  5. Step 5: Solve for x
    x = 884,234.99/946.68
  6. Step 6: Final answer
    x = 934.04

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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.