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Finding the Fourth Proportional to 677.74, 1,016.57 and 400.25

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Solution

The fourth proportional to 677.74, 1,016.57 and 400.25 is: 600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.74 : 1,016.57 = 400.25 : x
  2. Step 2: Convert to fraction form
    677.74/1,016.57 = 400.25/x
  3. Step 3: Cross multiply
    677.74x = 1,016.57 × 400.25
  4. Step 4: Simplify right side
    677.74x = 406,882.14
  5. Step 5: Solve for x
    x = 406,882.14/677.74
  6. Step 6: Final answer
    x = 600.35

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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.