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Finding the Fourth Proportional to 979.82, 1,352.33 and 743.35

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Solution

The fourth proportional to 979.82, 1,352.33 and 743.35 is: 1,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.82 : 1,352.33 = 743.35 : x
  2. Step 2: Convert to fraction form
    979.82/1,352.33 = 743.35/x
  3. Step 3: Cross multiply
    979.82x = 1,352.33 × 743.35
  4. Step 4: Simplify right side
    979.82x = 1,005,247.66
  5. Step 5: Solve for x
    x = 1,005,247.66/979.82
  6. Step 6: Final answer
    x = 1,025.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.