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Finding the Fourth Proportional to 983.00, 1,473.59 and 333.32

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Solution

The fourth proportional to 983.00, 1,473.59 and 333.32 is: 499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.00 : 1,473.59 = 333.32 : x
  2. Step 2: Convert to fraction form
    983.00/1,473.59 = 333.32/x
  3. Step 3: Cross multiply
    983.00x = 1,473.59 × 333.32
  4. Step 4: Simplify right side
    983.00x = 491,170.48
  5. Step 5: Solve for x
    x = 491,170.48/983.00
  6. Step 6: Final answer
    x = 499.66

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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.