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Finding the Fourth Proportional to 674.86, 1,012.08 and 382.72

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Solution

The fourth proportional to 674.86, 1,012.08 and 382.72 is: 573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.86 : 1,012.08 = 382.72 : x
  2. Step 2: Convert to fraction form
    674.86/1,012.08 = 382.72/x
  3. Step 3: Cross multiply
    674.86x = 1,012.08 × 382.72
  4. Step 4: Simplify right side
    674.86x = 387,343.26
  5. Step 5: Solve for x
    x = 387,343.26/674.86
  6. Step 6: Final answer
    x = 573.96

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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.