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Finding the Fourth Proportional to 674.92, 1,013.19 and 401.14

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Solution

The fourth proportional to 674.92, 1,013.19 and 401.14 is: 602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.92 : 1,013.19 = 401.14 : x
  2. Step 2: Convert to fraction form
    674.92/1,013.19 = 401.14/x
  3. Step 3: Cross multiply
    674.92x = 1,013.19 × 401.14
  4. Step 4: Simplify right side
    674.92x = 406,431.04
  5. Step 5: Solve for x
    x = 406,431.04/674.92
  6. Step 6: Final answer
    x = 602.19

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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.