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Finding the Fourth Proportional to 677.76, 1,016.34 and 403.98

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Solution

The fourth proportional to 677.76, 1,016.34 and 403.98 is: 605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.76 : 1,016.34 = 403.98 : x
  2. Step 2: Convert to fraction form
    677.76/1,016.34 = 403.98/x
  3. Step 3: Cross multiply
    677.76x = 1,016.34 × 403.98
  4. Step 4: Simplify right side
    677.76x = 410,581.03
  5. Step 5: Solve for x
    x = 410,581.03/677.76
  6. Step 6: Final answer
    x = 605.79

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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.