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Finding the Fourth Proportional to 982.03, 1,473.08 and 332.77

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Solution

The fourth proportional to 982.03, 1,473.08 and 332.77 is: 499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.03 : 1,473.08 = 332.77 : x
  2. Step 2: Convert to fraction form
    982.03/1,473.08 = 332.77/x
  3. Step 3: Cross multiply
    982.03x = 1,473.08 × 332.77
  4. Step 4: Simplify right side
    982.03x = 490,196.83
  5. Step 5: Solve for x
    x = 490,196.83/982.03
  6. Step 6: Final answer
    x = 499.17

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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.