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Finding the Fourth Proportional to 1,213.38, 1,820.43 and 520.11

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Solution

The fourth proportional to 1,213.38, 1,820.43 and 520.11 is: 780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.38 : 1,820.43 = 520.11 : x
  2. Step 2: Convert to fraction form
    1,213.38/1,820.43 = 520.11/x
  3. Step 3: Cross multiply
    1,213.38x = 1,820.43 × 520.11
  4. Step 4: Simplify right side
    1,213.38x = 946,823.85
  5. Step 5: Solve for x
    x = 946,823.85/1,213.38
  6. Step 6: Final answer
    x = 780.32

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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.