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Finding the Fourth Proportional to 983.42, 1,474.56 and 521.42

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Solution

The fourth proportional to 983.42, 1,474.56 and 521.42 is: 781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.42 : 1,474.56 = 521.42 : x
  2. Step 2: Convert to fraction form
    983.42/1,474.56 = 521.42/x
  3. Step 3: Cross multiply
    983.42x = 1,474.56 × 521.42
  4. Step 4: Simplify right side
    983.42x = 768,865.08
  5. Step 5: Solve for x
    x = 768,865.08/983.42
  6. Step 6: Final answer
    x = 781.83

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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.