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Finding the Fourth Proportional to 1,211.81, 1,818.02 and 518.14

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Solution

The fourth proportional to 1,211.81, 1,818.02 and 518.14 is: 777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.81 : 1,818.02 = 518.14 : x
  2. Step 2: Convert to fraction form
    1,211.81/1,818.02 = 518.14/x
  3. Step 3: Cross multiply
    1,211.81x = 1,818.02 × 518.14
  4. Step 4: Simplify right side
    1,211.81x = 941,985.63
  5. Step 5: Solve for x
    x = 941,985.63/1,211.81
  6. Step 6: Final answer
    x = 777.34

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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.