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Finding the Fourth Proportional to 983.04, 1,473.96 and 419.52

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Solution

The fourth proportional to 983.04, 1,473.96 and 419.52 is: 629.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.04 : 1,473.96 = 419.52 : x
  2. Step 2: Convert to fraction form
    983.04/1,473.96 = 419.52/x
  3. Step 3: Cross multiply
    983.04x = 1,473.96 × 419.52
  4. Step 4: Simplify right side
    983.04x = 618,355.70
  5. Step 5: Solve for x
    x = 618,355.70/983.04
  6. Step 6: Final answer
    x = 629.02

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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.