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Finding the Fourth Proportional to 966.93, 1,449.46 and 419.49

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Solution

The fourth proportional to 966.93, 1,449.46 and 419.49 is: 628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.93 : 1,449.46 = 419.49 : x
  2. Step 2: Convert to fraction form
    966.93/1,449.46 = 419.49/x
  3. Step 3: Cross multiply
    966.93x = 1,449.46 × 419.49
  4. Step 4: Simplify right side
    966.93x = 608,033.98
  5. Step 5: Solve for x
    x = 608,033.98/966.93
  6. Step 6: Final answer
    x = 628.83

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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.