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Finding the Fourth Proportional to 966.80, 1,450.40 and 419.12

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Solution

The fourth proportional to 966.80, 1,450.40 and 419.12 is: 628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.80 : 1,450.40 = 419.12 : x
  2. Step 2: Convert to fraction form
    966.80/1,450.40 = 419.12/x
  3. Step 3: Cross multiply
    966.80x = 1,450.40 × 419.12
  4. Step 4: Simplify right side
    966.80x = 607,891.65
  5. Step 5: Solve for x
    x = 607,891.65/966.80
  6. Step 6: Final answer
    x = 628.77

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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.