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Finding the Fourth Proportional to 982.46, 1,473.70 and 865.82

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Solution

The fourth proportional to 982.46, 1,473.70 and 865.82 is: 1,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.46 : 1,473.70 = 865.82 : x
  2. Step 2: Convert to fraction form
    982.46/1,473.70 = 865.82/x
  3. Step 3: Cross multiply
    982.46x = 1,473.70 × 865.82
  4. Step 4: Simplify right side
    982.46x = 1,275,958.93
  5. Step 5: Solve for x
    x = 1,275,958.93/982.46
  6. Step 6: Final answer
    x = 1,298.74

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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.