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Finding the Fourth Proportional to 966.67, 1,449.24 and 418.48

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Solution

The fourth proportional to 966.67, 1,449.24 and 418.48 is: 627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.67 : 1,449.24 = 418.48 : x
  2. Step 2: Convert to fraction form
    966.67/1,449.24 = 418.48/x
  3. Step 3: Cross multiply
    966.67x = 1,449.24 × 418.48
  4. Step 4: Simplify right side
    966.67x = 606,470.71
  5. Step 5: Solve for x
    x = 606,470.71/966.67
  6. Step 6: Final answer
    x = 627.38

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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.