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Finding the Fourth Proportional to 676.39, 1,016.87 and 540.92

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Solution

The fourth proportional to 676.39, 1,016.87 and 540.92 is: 813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.39 : 1,016.87 = 540.92 : x
  2. Step 2: Convert to fraction form
    676.39/1,016.87 = 540.92/x
  3. Step 3: Cross multiply
    676.39x = 1,016.87 × 540.92
  4. Step 4: Simplify right side
    676.39x = 550,045.32
  5. Step 5: Solve for x
    x = 550,045.32/676.39
  6. Step 6: Final answer
    x = 813.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.