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Finding the Fourth Proportional to 982.32, 1,471.32 and 404.52

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Solution

The fourth proportional to 982.32, 1,471.32 and 404.52 is: 605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.32 : 1,471.32 = 404.52 : x
  2. Step 2: Convert to fraction form
    982.32/1,471.32 = 404.52/x
  3. Step 3: Cross multiply
    982.32x = 1,471.32 × 404.52
  4. Step 4: Simplify right side
    982.32x = 595,178.37
  5. Step 5: Solve for x
    x = 595,178.37/982.32
  6. Step 6: Final answer
    x = 605.89

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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.