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Finding the Fourth Proportional to 931.82, 1,396.31 and 521.10

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Solution

The fourth proportional to 931.82, 1,396.31 and 521.10 is: 780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.82 : 1,396.31 = 521.10 : x
  2. Step 2: Convert to fraction form
    931.82/1,396.31 = 521.10/x
  3. Step 3: Cross multiply
    931.82x = 1,396.31 × 521.10
  4. Step 4: Simplify right side
    931.82x = 727,614.54
  5. Step 5: Solve for x
    x = 727,614.54/931.82
  6. Step 6: Final answer
    x = 780.86

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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.