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Finding the Fourth Proportional to 1,015.21, 1,522.60 and 284.62

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Solution

The fourth proportional to 1,015.21, 1,522.60 and 284.62 is: 426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.21 : 1,522.60 = 284.62 : x
  2. Step 2: Convert to fraction form
    1,015.21/1,522.60 = 284.62/x
  3. Step 3: Cross multiply
    1,015.21x = 1,522.60 × 284.62
  4. Step 4: Simplify right side
    1,015.21x = 433,362.41
  5. Step 5: Solve for x
    x = 433,362.41/1,015.21
  6. Step 6: Final answer
    x = 426.87

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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.