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Finding the Fourth Proportional to 674.64, 1,010.75 and 414.05

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Solution

The fourth proportional to 674.64, 1,010.75 and 414.05 is: 620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.64 : 1,010.75 = 414.05 : x
  2. Step 2: Convert to fraction form
    674.64/1,010.75 = 414.05/x
  3. Step 3: Cross multiply
    674.64x = 1,010.75 × 414.05
  4. Step 4: Simplify right side
    674.64x = 418,493.91
  5. Step 5: Solve for x
    x = 418,493.91/674.64
  6. Step 6: Final answer
    x = 620.32

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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.