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Finding the Fourth Proportional to 1,015.10, 1,522.42 and 321.82

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Solution

The fourth proportional to 1,015.10, 1,522.42 and 321.82 is: 482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.10 : 1,522.42 = 321.82 : x
  2. Step 2: Convert to fraction form
    1,015.10/1,522.42 = 321.82/x
  3. Step 3: Cross multiply
    1,015.10x = 1,522.42 × 321.82
  4. Step 4: Simplify right side
    1,015.10x = 489,935.98
  5. Step 5: Solve for x
    x = 489,935.98/1,015.10
  6. Step 6: Final answer
    x = 482.65

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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.