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Finding the Fourth Proportional to 982.59, 1,473.30 and 462.27

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Solution

The fourth proportional to 982.59, 1,473.30 and 462.27 is: 693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.59 : 1,473.30 = 462.27 : x
  2. Step 2: Convert to fraction form
    982.59/1,473.30 = 462.27/x
  3. Step 3: Cross multiply
    982.59x = 1,473.30 × 462.27
  4. Step 4: Simplify right side
    982.59x = 681,062.39
  5. Step 5: Solve for x
    x = 681,062.39/982.59
  6. Step 6: Final answer
    x = 693.13

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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.