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Finding the Fourth Proportional to 677.57, 1,016.62 and 400.14

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Solution

The fourth proportional to 677.57, 1,016.62 and 400.14 is: 600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.57 : 1,016.62 = 400.14 : x
  2. Step 2: Convert to fraction form
    677.57/1,016.62 = 400.14/x
  3. Step 3: Cross multiply
    677.57x = 1,016.62 × 400.14
  4. Step 4: Simplify right side
    677.57x = 406,789.33
  5. Step 5: Solve for x
    x = 406,789.33/677.57
  6. Step 6: Final answer
    x = 600.37

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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.