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Finding the Fourth Proportional to 674.94, 1,010.04 and 414.87

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Solution

The fourth proportional to 674.94, 1,010.04 and 414.87 is: 620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.94 : 1,010.04 = 414.87 : x
  2. Step 2: Convert to fraction form
    674.94/1,010.04 = 414.87/x
  3. Step 3: Cross multiply
    674.94x = 1,010.04 × 414.87
  4. Step 4: Simplify right side
    674.94x = 419,035.29
  5. Step 5: Solve for x
    x = 419,035.29/674.94
  6. Step 6: Final answer
    x = 620.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.