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Finding the Fourth Proportional to 983.11, 1,474.46 and 289.59

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Solution

The fourth proportional to 983.11, 1,474.46 and 289.59 is: 434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.11 : 1,474.46 = 289.59 : x
  2. Step 2: Convert to fraction form
    983.11/1,474.46 = 289.59/x
  3. Step 3: Cross multiply
    983.11x = 1,474.46 × 289.59
  4. Step 4: Simplify right side
    983.11x = 426,987.42
  5. Step 5: Solve for x
    x = 426,987.42/983.11
  6. Step 6: Final answer
    x = 434.32

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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.