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Finding the Fourth Proportional to 673.87, 1,010.23 and 414.05

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Solution

The fourth proportional to 673.87, 1,010.23 and 414.05 is: 620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.87 : 1,010.23 = 414.05 : x
  2. Step 2: Convert to fraction form
    673.87/1,010.23 = 414.05/x
  3. Step 3: Cross multiply
    673.87x = 1,010.23 × 414.05
  4. Step 4: Simplify right side
    673.87x = 418,286.82
  5. Step 5: Solve for x
    x = 418,286.82/673.87
  6. Step 6: Final answer
    x = 620.72

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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.