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Finding the Fourth Proportional to 674.69, 1,012.08 and 350.12

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Solution

The fourth proportional to 674.69, 1,012.08 and 350.12 is: 525.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.69 : 1,012.08 = 350.12 : x
  2. Step 2: Convert to fraction form
    674.69/1,012.08 = 350.12/x
  3. Step 3: Cross multiply
    674.69x = 1,012.08 × 350.12
  4. Step 4: Simplify right side
    674.69x = 354,344.39
  5. Step 5: Solve for x
    x = 354,344.39/674.69
  6. Step 6: Final answer
    x = 525.20

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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.