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Finding the Fourth Proportional to 1,213.81, 1,821.02 and 520.14

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Solution

The fourth proportional to 1,213.81, 1,821.02 and 520.14 is: 780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.81 : 1,821.02 = 520.14 : x
  2. Step 2: Convert to fraction form
    1,213.81/1,821.02 = 520.14/x
  3. Step 3: Cross multiply
    1,213.81x = 1,821.02 × 520.14
  4. Step 4: Simplify right side
    1,213.81x = 947,185.34
  5. Step 5: Solve for x
    x = 947,185.34/1,213.81
  6. Step 6: Final answer
    x = 780.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.